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Finding the Third Proportional to 1,687,042.69 and 2,470,508.86

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Solution

The third proportional to 1,687,042.69 and 2,470,508.86 is: 3,617,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,042.69 : 2,470,508.86 = 2,470,508.86 : x
  2. Step 2: Convert to fraction form
    1,687,042.69/2,470,508.86 = 2,470,508.86/x
  3. Step 3: Cross multiply
    1,687,042.69x = 2,470,508.86 × 2,470,508.86
  4. Step 4: Simplify right side
    1,687,042.69x = 6,103,414,024,250.36
  5. Step 5: Solve for x
    x = 6,103,414,024,250.36/1,687,042.69
  6. Step 6: Final answer
    x = 3,617,818.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.