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Finding the Third Proportional to 921,517 and 1,442,470

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Solution

The third proportional to 921,517 and 1,442,470 is: 2,257,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,517 : 1,442,470 = 1,442,470 : x
  2. Step 2: Convert to fraction form
    921,517/1,442,470 = 1,442,470/x
  3. Step 3: Cross multiply
    921,517x = 1,442,470 × 1,442,470
  4. Step 4: Simplify right side
    921,517x = 2,080,719,700,900
  5. Step 5: Solve for x
    x = 2,080,719,700,900/921,517
  6. Step 6: Final answer
    x = 2,257,928.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.