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Finding the Third Proportional to 865,160 and 1,344,288

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Solution

The third proportional to 865,160 and 1,344,288 is: 2,088,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,160 : 1,344,288 = 1,344,288 : x
  2. Step 2: Convert to fraction form
    865,160/1,344,288 = 1,344,288/x
  3. Step 3: Cross multiply
    865,160x = 1,344,288 × 1,344,288
  4. Step 4: Simplify right side
    865,160x = 1,807,110,226,944
  5. Step 5: Solve for x
    x = 1,807,110,226,944/865,160
  6. Step 6: Final answer
    x = 2,088,758.41

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Why These Related Problems?

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