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Finding the Third Proportional to 708,206 and 1,534,540

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Solution

The third proportional to 708,206 and 1,534,540 is: 3,325,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,206 : 1,534,540 = 1,534,540 : x
  2. Step 2: Convert to fraction form
    708,206/1,534,540 = 1,534,540/x
  3. Step 3: Cross multiply
    708,206x = 1,534,540 × 1,534,540
  4. Step 4: Simplify right side
    708,206x = 2,354,813,011,600
  5. Step 5: Solve for x
    x = 2,354,813,011,600/708,206
  6. Step 6: Final answer
    x = 3,325,039.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.