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Finding the Third Proportional to 704,181 and 1,520,613

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Solution

The third proportional to 704,181 and 1,520,613 is: 3,283,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,181 : 1,520,613 = 1,520,613 : x
  2. Step 2: Convert to fraction form
    704,181/1,520,613 = 1,520,613/x
  3. Step 3: Cross multiply
    704,181x = 1,520,613 × 1,520,613
  4. Step 4: Simplify right side
    704,181x = 2,312,263,895,769
  5. Step 5: Solve for x
    x = 2,312,263,895,769/704,181
  6. Step 6: Final answer
    x = 3,283,621.53

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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.