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Finding the Third Proportional to 865,164 and 1,344,294

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Solution

The third proportional to 865,164 and 1,344,294 is: 2,088,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,164 : 1,344,294 = 1,344,294 : x
  2. Step 2: Convert to fraction form
    865,164/1,344,294 = 1,344,294/x
  3. Step 3: Cross multiply
    865,164x = 1,344,294 × 1,344,294
  4. Step 4: Simplify right side
    865,164x = 1,807,126,358,436
  5. Step 5: Solve for x
    x = 1,807,126,358,436/865,164
  6. Step 6: Final answer
    x = 2,088,767.40

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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.