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Finding the Third Proportional to 927,234 and 2,031,642

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Solution

The third proportional to 927,234 and 2,031,642 is: 4,451,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,234 : 2,031,642 = 2,031,642 : x
  2. Step 2: Convert to fraction form
    927,234/2,031,642 = 2,031,642/x
  3. Step 3: Cross multiply
    927,234x = 2,031,642 × 2,031,642
  4. Step 4: Simplify right side
    927,234x = 4,127,569,216,164
  5. Step 5: Solve for x
    x = 4,127,569,216,164/927,234
  6. Step 6: Final answer
    x = 4,451,486.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.