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Finding the Third Proportional to 807,002 and 1,172,487

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Solution

The third proportional to 807,002 and 1,172,487 is: 1,703,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,002 : 1,172,487 = 1,172,487 : x
  2. Step 2: Convert to fraction form
    807,002/1,172,487 = 1,172,487/x
  3. Step 3: Cross multiply
    807,002x = 1,172,487 × 1,172,487
  4. Step 4: Simplify right side
    807,002x = 1,374,725,765,169
  5. Step 5: Solve for x
    x = 1,374,725,765,169/807,002
  6. Step 6: Final answer
    x = 1,703,497.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.