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Finding the Third Proportional to 604,174,906 and 1,301,315,081

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Solution

The third proportional to 604,174,906 and 1,301,315,081 is: 2,802,865,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,174,906 : 1,301,315,081 = 1,301,315,081 : x
  2. Step 2: Convert to fraction form
    604,174,906/1,301,315,081 = 1,301,315,081/x
  3. Step 3: Cross multiply
    604,174,906x = 1,301,315,081 × 1,301,315,081
  4. Step 4: Simplify right side
    604,174,906x = 1,693,420,940,038,036,480
  5. Step 5: Solve for x
    x = 1,693,420,940,038,036,480/604,174,906
  6. Step 6: Final answer
    x = 2,802,865,400.77

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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.