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Finding the Third Proportional to 785,774 and 1,711,552

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Solution

The third proportional to 785,774 and 1,711,552 is: 3,728,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,774 : 1,711,552 = 1,711,552 : x
  2. Step 2: Convert to fraction form
    785,774/1,711,552 = 1,711,552/x
  3. Step 3: Cross multiply
    785,774x = 1,711,552 × 1,711,552
  4. Step 4: Simplify right side
    785,774x = 2,929,410,248,704
  5. Step 5: Solve for x
    x = 2,929,410,248,704/785,774
  6. Step 6: Final answer
    x = 3,728,056.98

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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.