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Finding the Third Proportional to 695,856 and 1,482,840

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Solution

The third proportional to 695,856 and 1,482,840 is: 3,159,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,856 : 1,482,840 = 1,482,840 : x
  2. Step 2: Convert to fraction form
    695,856/1,482,840 = 1,482,840/x
  3. Step 3: Cross multiply
    695,856x = 1,482,840 × 1,482,840
  4. Step 4: Simplify right side
    695,856x = 2,198,814,465,600
  5. Step 5: Solve for x
    x = 2,198,814,465,600/695,856
  6. Step 6: Final answer
    x = 3,159,869.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.