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Finding the Third Proportional to 883,780 and 1,382,538

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Solution

The third proportional to 883,780 and 1,382,538 is: 2,162,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,780 : 1,382,538 = 1,382,538 : x
  2. Step 2: Convert to fraction form
    883,780/1,382,538 = 1,382,538/x
  3. Step 3: Cross multiply
    883,780x = 1,382,538 × 1,382,538
  4. Step 4: Simplify right side
    883,780x = 1,911,411,321,444
  5. Step 5: Solve for x
    x = 1,911,411,321,444/883,780
  6. Step 6: Final answer
    x = 2,162,768.25

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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.