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Finding the Third Proportional to 649,789 and 1,425,123

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Solution

The third proportional to 649,789 and 1,425,123 is: 3,125,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,789 : 1,425,123 = 1,425,123 : x
  2. Step 2: Convert to fraction form
    649,789/1,425,123 = 1,425,123/x
  3. Step 3: Cross multiply
    649,789x = 1,425,123 × 1,425,123
  4. Step 4: Simplify right side
    649,789x = 2,030,975,565,129
  5. Step 5: Solve for x
    x = 2,030,975,565,129/649,789
  6. Step 6: Final answer
    x = 3,125,592.41

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