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Finding the Third Proportional to 1,098,507 and 1,663,251.75

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Solution

The third proportional to 1,098,507 and 1,663,251.75 is: 2,518,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,507 : 1,663,251.75 = 1,663,251.75 : x
  2. Step 2: Convert to fraction form
    1,098,507/1,663,251.75 = 1,663,251.75/x
  3. Step 3: Cross multiply
    1,098,507x = 1,663,251.75 × 1,663,251.75
  4. Step 4: Simplify right side
    1,098,507x = 2,766,406,383,878.06
  5. Step 5: Solve for x
    x = 2,766,406,383,878.06/1,098,507
  6. Step 6: Final answer
    x = 2,518,332.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.