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Finding the Third Proportional to 785,604 and 1,687,470

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Solution

The third proportional to 785,604 and 1,687,470 is: 3,624,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,604 : 1,687,470 = 1,687,470 : x
  2. Step 2: Convert to fraction form
    785,604/1,687,470 = 1,687,470/x
  3. Step 3: Cross multiply
    785,604x = 1,687,470 × 1,687,470
  4. Step 4: Simplify right side
    785,604x = 2,847,555,000,900
  5. Step 5: Solve for x
    x = 2,847,555,000,900/785,604
  6. Step 6: Final answer
    x = 3,624,669.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.