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Finding the Third Proportional to 508,754 and 1,182,893

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Solution

The third proportional to 508,754 and 1,182,893 is: 2,750,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,754 : 1,182,893 = 1,182,893 : x
  2. Step 2: Convert to fraction form
    508,754/1,182,893 = 1,182,893/x
  3. Step 3: Cross multiply
    508,754x = 1,182,893 × 1,182,893
  4. Step 4: Simplify right side
    508,754x = 1,399,235,849,449
  5. Step 5: Solve for x
    x = 1,399,235,849,449/508,754
  6. Step 6: Final answer
    x = 2,750,319.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.