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Finding the Third Proportional to 865,156 and 1,344,282

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Solution

The third proportional to 865,156 and 1,344,282 is: 2,088,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,156 : 1,344,282 = 1,344,282 : x
  2. Step 2: Convert to fraction form
    865,156/1,344,282 = 1,344,282/x
  3. Step 3: Cross multiply
    865,156x = 1,344,282 × 1,344,282
  4. Step 4: Simplify right side
    865,156x = 1,807,094,095,524
  5. Step 5: Solve for x
    x = 1,807,094,095,524/865,156
  6. Step 6: Final answer
    x = 2,088,749.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.