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Finding the Third Proportional to 706,730 and 1,125,655

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Solution

The third proportional to 706,730 and 1,125,655 is: 1,792,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,730 : 1,125,655 = 1,125,655 : x
  2. Step 2: Convert to fraction form
    706,730/1,125,655 = 1,125,655/x
  3. Step 3: Cross multiply
    706,730x = 1,125,655 × 1,125,655
  4. Step 4: Simplify right side
    706,730x = 1,267,099,179,025
  5. Step 5: Solve for x
    x = 1,267,099,179,025/706,730
  6. Step 6: Final answer
    x = 1,792,904.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.