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Finding the Third Proportional to 710,756 and 1,677,846

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Solution

The third proportional to 710,756 and 1,677,846 is: 3,960,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,756 : 1,677,846 = 1,677,846 : x
  2. Step 2: Convert to fraction form
    710,756/1,677,846 = 1,677,846/x
  3. Step 3: Cross multiply
    710,756x = 1,677,846 × 1,677,846
  4. Step 4: Simplify right side
    710,756x = 2,815,167,199,716
  5. Step 5: Solve for x
    x = 2,815,167,199,716/710,756
  6. Step 6: Final answer
    x = 3,960,806.80

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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.