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Finding the Third Proportional to 604,174,915 and 1,301,315,090

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Solution

The third proportional to 604,174,915 and 1,301,315,090 is: 2,802,865,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,174,915 : 1,301,315,090 = 1,301,315,090 : x
  2. Step 2: Convert to fraction form
    604,174,915/1,301,315,090 = 1,301,315,090/x
  3. Step 3: Cross multiply
    604,174,915x = 1,301,315,090 × 1,301,315,090
  4. Step 4: Simplify right side
    604,174,915x = 1,693,420,963,461,708,032
  5. Step 5: Solve for x
    x = 1,693,420,963,461,708,032/604,174,915
  6. Step 6: Final answer
    x = 2,802,865,397.78

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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.