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Finding the Third Proportional to 3,569,513 and 5,437,922

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Solution

The third proportional to 3,569,513 and 5,437,922 is: 8,284,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,513 : 5,437,922 = 5,437,922 : x
  2. Step 2: Convert to fraction form
    3,569,513/5,437,922 = 5,437,922/x
  3. Step 3: Cross multiply
    3,569,513x = 5,437,922 × 5,437,922
  4. Step 4: Simplify right side
    3,569,513x = 29,570,995,678,084
  5. Step 5: Solve for x
    x = 29,570,995,678,084/3,569,513
  6. Step 6: Final answer
    x = 8,284,322.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.