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Finding the Third Proportional to 883,776 and 1,382,532

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Solution

The third proportional to 883,776 and 1,382,532 is: 2,162,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,776 : 1,382,532 = 1,382,532 : x
  2. Step 2: Convert to fraction form
    883,776/1,382,532 = 1,382,532/x
  3. Step 3: Cross multiply
    883,776x = 1,382,532 × 1,382,532
  4. Step 4: Simplify right side
    883,776x = 1,911,394,731,024
  5. Step 5: Solve for x
    x = 1,911,394,731,024/883,776
  6. Step 6: Final answer
    x = 2,162,759.26

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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.