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Finding the Third Proportional to 869,193 and 1,278,657

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Solution

The third proportional to 869,193 and 1,278,657 is: 1,881,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,193 : 1,278,657 = 1,278,657 : x
  2. Step 2: Convert to fraction form
    869,193/1,278,657 = 1,278,657/x
  3. Step 3: Cross multiply
    869,193x = 1,278,657 × 1,278,657
  4. Step 4: Simplify right side
    869,193x = 1,634,963,723,649
  5. Step 5: Solve for x
    x = 1,634,963,723,649/869,193
  6. Step 6: Final answer
    x = 1,881,013.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.