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Finding the Third Proportional to 928,424 and 1,252,659

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Solution

The third proportional to 928,424 and 1,252,659 is: 1,690,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,424 : 1,252,659 = 1,252,659 : x
  2. Step 2: Convert to fraction form
    928,424/1,252,659 = 1,252,659/x
  3. Step 3: Cross multiply
    928,424x = 1,252,659 × 1,252,659
  4. Step 4: Simplify right side
    928,424x = 1,569,154,570,281
  5. Step 5: Solve for x
    x = 1,569,154,570,281/928,424
  6. Step 6: Final answer
    x = 1,690,127.11

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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.