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Finding the Third Proportional to 948,352 and 2,238,560

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Solution

The third proportional to 948,352 and 2,238,560 is: 5,284,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,352 : 2,238,560 = 2,238,560 : x
  2. Step 2: Convert to fraction form
    948,352/2,238,560 = 2,238,560/x
  3. Step 3: Cross multiply
    948,352x = 2,238,560 × 2,238,560
  4. Step 4: Simplify right side
    948,352x = 5,011,150,873,600
  5. Step 5: Solve for x
    x = 5,011,150,873,600/948,352
  6. Step 6: Final answer
    x = 5,284,062.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.