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Finding the Third Proportional to 1,024,559 and 1,528,535

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Solution

The third proportional to 1,024,559 and 1,528,535 is: 2,280,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,559 : 1,528,535 = 1,528,535 : x
  2. Step 2: Convert to fraction form
    1,024,559/1,528,535 = 1,528,535/x
  3. Step 3: Cross multiply
    1,024,559x = 1,528,535 × 1,528,535
  4. Step 4: Simplify right side
    1,024,559x = 2,336,419,246,225
  5. Step 5: Solve for x
    x = 2,336,419,246,225/1,024,559
  6. Step 6: Final answer
    x = 2,280,414.55

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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.