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Finding the Third Proportional to 771,439 and 1,156,398

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Solution

The third proportional to 771,439 and 1,156,398 is: 1,733,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,439 : 1,156,398 = 1,156,398 : x
  2. Step 2: Convert to fraction form
    771,439/1,156,398 = 1,156,398/x
  3. Step 3: Cross multiply
    771,439x = 1,156,398 × 1,156,398
  4. Step 4: Simplify right side
    771,439x = 1,337,256,334,404
  5. Step 5: Solve for x
    x = 1,337,256,334,404/771,439
  6. Step 6: Final answer
    x = 1,733,457.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.