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Finding the Third Proportional to 980,436 and 1,498,864.50

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Solution

The third proportional to 980,436 and 1,498,864.50 is: 2,291,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,436 : 1,498,864.50 = 1,498,864.50 : x
  2. Step 2: Convert to fraction form
    980,436/1,498,864.50 = 1,498,864.50/x
  3. Step 3: Cross multiply
    980,436x = 1,498,864.50 × 1,498,864.50
  4. Step 4: Simplify right side
    980,436x = 2,246,594,789,360.25
  5. Step 5: Solve for x
    x = 2,246,594,789,360.25/980,436
  6. Step 6: Final answer
    x = 2,291,424.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.