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Finding the Third Proportional to 440,506 and 961,924

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Solution

The third proportional to 440,506 and 961,924 is: 2,100,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,506 : 961,924 = 961,924 : x
  2. Step 2: Convert to fraction form
    440,506/961,924 = 961,924/x
  3. Step 3: Cross multiply
    440,506x = 961,924 × 961,924
  4. Step 4: Simplify right side
    440,506x = 925,297,781,776
  5. Step 5: Solve for x
    x = 925,297,781,776/440,506
  6. Step 6: Final answer
    x = 2,100,533.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.