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Finding the Third Proportional to 1,098,034 and 1,640,585

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Solution

The third proportional to 1,098,034 and 1,640,585 is: 2,451,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,034 : 1,640,585 = 1,640,585 : x
  2. Step 2: Convert to fraction form
    1,098,034/1,640,585 = 1,640,585/x
  3. Step 3: Cross multiply
    1,098,034x = 1,640,585 × 1,640,585
  4. Step 4: Simplify right side
    1,098,034x = 2,691,519,142,225
  5. Step 5: Solve for x
    x = 2,691,519,142,225/1,098,034
  6. Step 6: Final answer
    x = 2,451,216.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.