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Finding the Third Proportional to 710,771 and 1,677,890

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Solution

The third proportional to 710,771 and 1,677,890 is: 3,960,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,771 : 1,677,890 = 1,677,890 : x
  2. Step 2: Convert to fraction form
    710,771/1,677,890 = 1,677,890/x
  3. Step 3: Cross multiply
    710,771x = 1,677,890 × 1,677,890
  4. Step 4: Simplify right side
    710,771x = 2,815,314,852,100
  5. Step 5: Solve for x
    x = 2,815,314,852,100/710,771
  6. Step 6: Final answer
    x = 3,960,930.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.