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Finding the Third Proportional to 883,748 and 1,382,493

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Solution

The third proportional to 883,748 and 1,382,493 is: 2,162,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,748 : 1,382,493 = 1,382,493 : x
  2. Step 2: Convert to fraction form
    883,748/1,382,493 = 1,382,493/x
  3. Step 3: Cross multiply
    883,748x = 1,382,493 × 1,382,493
  4. Step 4: Simplify right side
    883,748x = 1,911,286,895,049
  5. Step 5: Solve for x
    x = 1,911,286,895,049/883,748
  6. Step 6: Final answer
    x = 2,162,705.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.