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Finding the Third Proportional to 1,109,098.50 and 1,785,636

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Solution

The third proportional to 1,109,098.50 and 1,785,636 is: 2,874,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,098.50 : 1,785,636 = 1,785,636 : x
  2. Step 2: Convert to fraction form
    1,109,098.50/1,785,636 = 1,785,636/x
  3. Step 3: Cross multiply
    1,109,098.50x = 1,785,636 × 1,785,636
  4. Step 4: Simplify right side
    1,109,098.50x = 3,188,495,924,496
  5. Step 5: Solve for x
    x = 3,188,495,924,496/1,109,098.50
  6. Step 6: Final answer
    x = 2,874,853.70

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.