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Finding the Third Proportional to 604,174,901 and 1,301,315,071

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Solution

The third proportional to 604,174,901 and 1,301,315,071 is: 2,802,865,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,174,901 : 1,301,315,071 = 1,301,315,071 : x
  2. Step 2: Convert to fraction form
    604,174,901/1,301,315,071 = 1,301,315,071/x
  3. Step 3: Cross multiply
    604,174,901x = 1,301,315,071 × 1,301,315,071
  4. Step 4: Simplify right side
    604,174,901x = 1,693,420,914,011,735,040
  5. Step 5: Solve for x
    x = 1,693,420,914,011,735,040/604,174,901
  6. Step 6: Final answer
    x = 2,802,865,380.88

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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.