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Finding the Third Proportional to 709,070 and 1,127,540

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Solution

The third proportional to 709,070 and 1,127,540 is: 1,792,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,070 : 1,127,540 = 1,127,540 : x
  2. Step 2: Convert to fraction form
    709,070/1,127,540 = 1,127,540/x
  3. Step 3: Cross multiply
    709,070x = 1,127,540 × 1,127,540
  4. Step 4: Simplify right side
    709,070x = 1,271,346,451,600
  5. Step 5: Solve for x
    x = 1,271,346,451,600/709,070
  6. Step 6: Final answer
    x = 1,792,977.35

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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.