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Finding the Third Proportional to 704,173 and 1,520,596

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Solution

The third proportional to 704,173 and 1,520,596 is: 3,283,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,173 : 1,520,596 = 1,520,596 : x
  2. Step 2: Convert to fraction form
    704,173/1,520,596 = 1,520,596/x
  3. Step 3: Cross multiply
    704,173x = 1,520,596 × 1,520,596
  4. Step 4: Simplify right side
    704,173x = 2,312,212,195,216
  5. Step 5: Solve for x
    x = 2,312,212,195,216/704,173
  6. Step 6: Final answer
    x = 3,283,585.42

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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.