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Finding the Third Proportional to 704,189 and 1,520,602

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Solution

The third proportional to 704,189 and 1,520,602 is: 3,283,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,189 : 1,520,602 = 1,520,602 : x
  2. Step 2: Convert to fraction form
    704,189/1,520,602 = 1,520,602/x
  3. Step 3: Cross multiply
    704,189x = 1,520,602 × 1,520,602
  4. Step 4: Simplify right side
    704,189x = 2,312,230,442,404
  5. Step 5: Solve for x
    x = 2,312,230,442,404/704,189
  6. Step 6: Final answer
    x = 3,283,536.72

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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.