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Finding the Third Proportional to 1,014,516 and 1,518,561

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Solution

The third proportional to 1,014,516 and 1,518,561 is: 2,273,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,516 : 1,518,561 = 1,518,561 : x
  2. Step 2: Convert to fraction form
    1,014,516/1,518,561 = 1,518,561/x
  3. Step 3: Cross multiply
    1,014,516x = 1,518,561 × 1,518,561
  4. Step 4: Simplify right side
    1,014,516x = 2,306,027,510,721
  5. Step 5: Solve for x
    x = 2,306,027,510,721/1,014,516
  6. Step 6: Final answer
    x = 2,273,032.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.