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Finding the Third Proportional to 582,894 and 926,853

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Solution

The third proportional to 582,894 and 926,853 is: 1,473,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,894 : 926,853 = 926,853 : x
  2. Step 2: Convert to fraction form
    582,894/926,853 = 926,853/x
  3. Step 3: Cross multiply
    582,894x = 926,853 × 926,853
  4. Step 4: Simplify right side
    582,894x = 859,056,483,609
  5. Step 5: Solve for x
    x = 859,056,483,609/582,894
  6. Step 6: Final answer
    x = 1,473,778.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.