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Finding the Third Proportional to 1,429,691 and 2,178,078

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Solution

The third proportional to 1,429,691 and 2,178,078 is: 3,318,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,691 : 2,178,078 = 2,178,078 : x
  2. Step 2: Convert to fraction form
    1,429,691/2,178,078 = 2,178,078/x
  3. Step 3: Cross multiply
    1,429,691x = 2,178,078 × 2,178,078
  4. Step 4: Simplify right side
    1,429,691x = 4,744,023,774,084
  5. Step 5: Solve for x
    x = 4,744,023,774,084/1,429,691
  6. Step 6: Final answer
    x = 3,318,216.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.