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Finding the Third Proportional to 842,448 and 1,819,776

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Solution

The third proportional to 842,448 and 1,819,776 is: 3,930,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,448 : 1,819,776 = 1,819,776 : x
  2. Step 2: Convert to fraction form
    842,448/1,819,776 = 1,819,776/x
  3. Step 3: Cross multiply
    842,448x = 1,819,776 × 1,819,776
  4. Step 4: Simplify right side
    842,448x = 3,311,584,690,176
  5. Step 5: Solve for x
    x = 3,311,584,690,176/842,448
  6. Step 6: Final answer
    x = 3,930,906.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.