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Finding the Third Proportional to 698,708 and 1,497,028

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Solution

The third proportional to 698,708 and 1,497,028 is: 3,207,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,708 : 1,497,028 = 1,497,028 : x
  2. Step 2: Convert to fraction form
    698,708/1,497,028 = 1,497,028/x
  3. Step 3: Cross multiply
    698,708x = 1,497,028 × 1,497,028
  4. Step 4: Simplify right side
    698,708x = 2,241,092,832,784
  5. Step 5: Solve for x
    x = 2,241,092,832,784/698,708
  6. Step 6: Final answer
    x = 3,207,481.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.