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Finding the Third Proportional to 865,152 and 1,344,276

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Solution

The third proportional to 865,152 and 1,344,276 is: 2,088,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,152 : 1,344,276 = 1,344,276 : x
  2. Step 2: Convert to fraction form
    865,152/1,344,276 = 1,344,276/x
  3. Step 3: Cross multiply
    865,152x = 1,344,276 × 1,344,276
  4. Step 4: Simplify right side
    865,152x = 1,807,077,964,176
  5. Step 5: Solve for x
    x = 1,807,077,964,176/865,152
  6. Step 6: Final answer
    x = 2,088,740.43

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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.