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Finding the Third Proportional to 928,369 and 1,252,584

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Solution

The third proportional to 928,369 and 1,252,584 is: 1,690,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,369 : 1,252,584 = 1,252,584 : x
  2. Step 2: Convert to fraction form
    928,369/1,252,584 = 1,252,584/x
  3. Step 3: Cross multiply
    928,369x = 1,252,584 × 1,252,584
  4. Step 4: Simplify right side
    928,369x = 1,568,966,677,056
  5. Step 5: Solve for x
    x = 1,568,966,677,056/928,369
  6. Step 6: Final answer
    x = 1,690,024.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.