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Finding the Third Proportional to 747,894 and 1,631,142

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Solution

The third proportional to 747,894 and 1,631,142 is: 3,557,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,894 : 1,631,142 = 1,631,142 : x
  2. Step 2: Convert to fraction form
    747,894/1,631,142 = 1,631,142/x
  3. Step 3: Cross multiply
    747,894x = 1,631,142 × 1,631,142
  4. Step 4: Simplify right side
    747,894x = 2,660,624,224,164
  5. Step 5: Solve for x
    x = 2,660,624,224,164/747,894
  6. Step 6: Final answer
    x = 3,557,488.39

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