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Finding the Third Proportional to 569,894 and 885,927

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Solution

The third proportional to 569,894 and 885,927 is: 1,377,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,894 : 885,927 = 885,927 : x
  2. Step 2: Convert to fraction form
    569,894/885,927 = 885,927/x
  3. Step 3: Cross multiply
    569,894x = 885,927 × 885,927
  4. Step 4: Simplify right side
    569,894x = 784,866,649,329
  5. Step 5: Solve for x
    x = 784,866,649,329/569,894
  6. Step 6: Final answer
    x = 1,377,215.15

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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.