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Finding the Third Proportional to 782,444.81 and 1,648,952.44

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Solution

The third proportional to 782,444.81 and 1,648,952.44 is: 3,475,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,444.81 : 1,648,952.44 = 1,648,952.44 : x
  2. Step 2: Convert to fraction form
    782,444.81/1,648,952.44 = 1,648,952.44/x
  3. Step 3: Cross multiply
    782,444.81x = 1,648,952.44 × 1,648,952.44
  4. Step 4: Simplify right side
    782,444.81x = 2,719,044,141,137.19
  5. Step 5: Solve for x
    x = 2,719,044,141,137.19/782,444.81
  6. Step 6: Final answer
    x = 3,475,061.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.