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Finding the Third Proportional to 2,065,205 and 4,376,578

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Solution

The third proportional to 2,065,205 and 4,376,578 is: 9,274,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,205 : 4,376,578 = 4,376,578 : x
  2. Step 2: Convert to fraction form
    2,065,205/4,376,578 = 4,376,578/x
  3. Step 3: Cross multiply
    2,065,205x = 4,376,578 × 4,376,578
  4. Step 4: Simplify right side
    2,065,205x = 19,154,434,990,084
  5. Step 5: Solve for x
    x = 19,154,434,990,084/2,065,205
  6. Step 6: Final answer
    x = 9,274,834.70

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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.