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Finding the Third Proportional to 438,624 and 943,776

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Solution

The third proportional to 438,624 and 943,776 is: 2,030,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,624 : 943,776 = 943,776 : x
  2. Step 2: Convert to fraction form
    438,624/943,776 = 943,776/x
  3. Step 3: Cross multiply
    438,624x = 943,776 × 943,776
  4. Step 4: Simplify right side
    438,624x = 890,713,138,176
  5. Step 5: Solve for x
    x = 890,713,138,176/438,624
  6. Step 6: Final answer
    x = 2,030,698.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.