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Finding the Third Proportional to 784,315 and 1,104,438

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Solution

The third proportional to 784,315 and 1,104,438 is: 1,555,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,315 : 1,104,438 = 1,104,438 : x
  2. Step 2: Convert to fraction form
    784,315/1,104,438 = 1,104,438/x
  3. Step 3: Cross multiply
    784,315x = 1,104,438 × 1,104,438
  4. Step 4: Simplify right side
    784,315x = 1,219,783,295,844
  5. Step 5: Solve for x
    x = 1,219,783,295,844/784,315
  6. Step 6: Final answer
    x = 1,555,221.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.