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Finding the Third Proportional to 702,413 and 1,488,416

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Solution

The third proportional to 702,413 and 1,488,416 is: 3,153,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,413 : 1,488,416 = 1,488,416 : x
  2. Step 2: Convert to fraction form
    702,413/1,488,416 = 1,488,416/x
  3. Step 3: Cross multiply
    702,413x = 1,488,416 × 1,488,416
  4. Step 4: Simplify right side
    702,413x = 2,215,382,189,056
  5. Step 5: Solve for x
    x = 2,215,382,189,056/702,413
  6. Step 6: Final answer
    x = 3,153,959.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.