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Finding the Third Proportional to 784,482 and 1,693,380

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Solution

The third proportional to 784,482 and 1,693,380 is: 3,655,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,482 : 1,693,380 = 1,693,380 : x
  2. Step 2: Convert to fraction form
    784,482/1,693,380 = 1,693,380/x
  3. Step 3: Cross multiply
    784,482x = 1,693,380 × 1,693,380
  4. Step 4: Simplify right side
    784,482x = 2,867,535,824,400
  5. Step 5: Solve for x
    x = 2,867,535,824,400/784,482
  6. Step 6: Final answer
    x = 3,655,323.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.