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Finding the Third Proportional to 562,930 and 1,148,782

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Solution

The third proportional to 562,930 and 1,148,782 is: 2,344,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,930 : 1,148,782 = 1,148,782 : x
  2. Step 2: Convert to fraction form
    562,930/1,148,782 = 1,148,782/x
  3. Step 3: Cross multiply
    562,930x = 1,148,782 × 1,148,782
  4. Step 4: Simplify right side
    562,930x = 1,319,700,083,524
  5. Step 5: Solve for x
    x = 1,319,700,083,524/562,930
  6. Step 6: Final answer
    x = 2,344,341.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.