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Finding the Third Proportional to 1,023,120 and 1,601,472

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Solution

The third proportional to 1,023,120 and 1,601,472 is: 2,506,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,120 : 1,601,472 = 1,601,472 : x
  2. Step 2: Convert to fraction form
    1,023,120/1,601,472 = 1,601,472/x
  3. Step 3: Cross multiply
    1,023,120x = 1,601,472 × 1,601,472
  4. Step 4: Simplify right side
    1,023,120x = 2,564,712,566,784
  5. Step 5: Solve for x
    x = 2,564,712,566,784/1,023,120
  6. Step 6: Final answer
    x = 2,506,756.36

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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.