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Finding the Third Proportional to 800,042 and 1,125,363

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Solution

The third proportional to 800,042 and 1,125,363 is: 1,582,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,042 : 1,125,363 = 1,125,363 : x
  2. Step 2: Convert to fraction form
    800,042/1,125,363 = 1,125,363/x
  3. Step 3: Cross multiply
    800,042x = 1,125,363 × 1,125,363
  4. Step 4: Simplify right side
    800,042x = 1,266,441,881,769
  5. Step 5: Solve for x
    x = 1,266,441,881,769/800,042
  6. Step 6: Final answer
    x = 1,582,969.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.