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Finding the Third Proportional to 865,894 and 1,358,324

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Solution

The third proportional to 865,894 and 1,358,324 is: 2,130,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,894 : 1,358,324 = 1,358,324 : x
  2. Step 2: Convert to fraction form
    865,894/1,358,324 = 1,358,324/x
  3. Step 3: Cross multiply
    865,894x = 1,358,324 × 1,358,324
  4. Step 4: Simplify right side
    865,894x = 1,845,044,088,976
  5. Step 5: Solve for x
    x = 1,845,044,088,976/865,894
  6. Step 6: Final answer
    x = 2,130,796.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.