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Finding the Third Proportional to 1,002,458 and 1,645,683

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Solution

The third proportional to 1,002,458 and 1,645,683 is: 2,701,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,458 : 1,645,683 = 1,645,683 : x
  2. Step 2: Convert to fraction form
    1,002,458/1,645,683 = 1,645,683/x
  3. Step 3: Cross multiply
    1,002,458x = 1,645,683 × 1,645,683
  4. Step 4: Simplify right side
    1,002,458x = 2,708,272,536,489
  5. Step 5: Solve for x
    x = 2,708,272,536,489/1,002,458
  6. Step 6: Final answer
    x = 2,701,631.93

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.