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Finding the Third Proportional to 861,410 and 1,283,698

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Solution

The third proportional to 861,410 and 1,283,698 is: 1,913,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,410 : 1,283,698 = 1,283,698 : x
  2. Step 2: Convert to fraction form
    861,410/1,283,698 = 1,283,698/x
  3. Step 3: Cross multiply
    861,410x = 1,283,698 × 1,283,698
  4. Step 4: Simplify right side
    861,410x = 1,647,880,555,204
  5. Step 5: Solve for x
    x = 1,647,880,555,204/861,410
  6. Step 6: Final answer
    x = 1,913,003.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.