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Finding the Third Proportional to 695,475 and 1,482,814

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Solution

The third proportional to 695,475 and 1,482,814 is: 3,161,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,475 : 1,482,814 = 1,482,814 : x
  2. Step 2: Convert to fraction form
    695,475/1,482,814 = 1,482,814/x
  3. Step 3: Cross multiply
    695,475x = 1,482,814 × 1,482,814
  4. Step 4: Simplify right side
    695,475x = 2,198,737,358,596
  5. Step 5: Solve for x
    x = 2,198,737,358,596/695,475
  6. Step 6: Final answer
    x = 3,161,490.15

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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.