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Finding the Third Proportional to 423,441 and 881,730

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Solution

The third proportional to 423,441 and 881,730 is: 1,836,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,441 : 881,730 = 881,730 : x
  2. Step 2: Convert to fraction form
    423,441/881,730 = 881,730/x
  3. Step 3: Cross multiply
    423,441x = 881,730 × 881,730
  4. Step 4: Simplify right side
    423,441x = 777,447,792,900
  5. Step 5: Solve for x
    x = 777,447,792,900/423,441
  6. Step 6: Final answer
    x = 1,836,023.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.