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Finding the Third Proportional to 704,156 and 1,520,542

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Solution

The third proportional to 704,156 and 1,520,542 is: 3,283,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,156 : 1,520,542 = 1,520,542 : x
  2. Step 2: Convert to fraction form
    704,156/1,520,542 = 1,520,542/x
  3. Step 3: Cross multiply
    704,156x = 1,520,542 × 1,520,542
  4. Step 4: Simplify right side
    704,156x = 2,312,047,973,764
  5. Step 5: Solve for x
    x = 2,312,047,973,764/704,156
  6. Step 6: Final answer
    x = 3,283,431.48

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Why These Related Problems?

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