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Finding the Third Proportional to 783,750 and 1,176,681

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Solution

The third proportional to 783,750 and 1,176,681 is: 1,766,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,750 : 1,176,681 = 1,176,681 : x
  2. Step 2: Convert to fraction form
    783,750/1,176,681 = 1,176,681/x
  3. Step 3: Cross multiply
    783,750x = 1,176,681 × 1,176,681
  4. Step 4: Simplify right side
    783,750x = 1,384,578,175,761
  5. Step 5: Solve for x
    x = 1,384,578,175,761/783,750
  6. Step 6: Final answer
    x = 1,766,606.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.