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Finding the Third Proportional to 604,174,701.94 and 1,301,314,663.13

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Solution

The third proportional to 604,174,701.94 and 1,301,314,663.13 is: 2,802,864,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,174,701.94 : 1,301,314,663.13 = 1,301,314,663.13 : x
  2. Step 2: Convert to fraction form
    604,174,701.94/1,301,314,663.13 = 1,301,314,663.13/x
  3. Step 3: Cross multiply
    604,174,701.94x = 1,301,314,663.13 × 1,301,314,663.13
  4. Step 4: Simplify right side
    604,174,701.94x = 1,693,419,852,464,132,352
  5. Step 5: Solve for x
    x = 1,693,419,852,464,132,352/604,174,701.94
  6. Step 6: Final answer
    x = 2,802,864,547.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.