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Finding the Third Proportional to 709,866 and 1,537,764

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Solution

The third proportional to 709,866 and 1,537,764 is: 3,331,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,866 : 1,537,764 = 1,537,764 : x
  2. Step 2: Convert to fraction form
    709,866/1,537,764 = 1,537,764/x
  3. Step 3: Cross multiply
    709,866x = 1,537,764 × 1,537,764
  4. Step 4: Simplify right side
    709,866x = 2,364,718,119,696
  5. Step 5: Solve for x
    x = 2,364,718,119,696/709,866
  6. Step 6: Final answer
    x = 3,331,217.61

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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.