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Finding the Third Proportional to 1,578,135 and 3,451,578

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Solution

The third proportional to 1,578,135 and 3,451,578 is: 7,549,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,135 : 3,451,578 = 3,451,578 : x
  2. Step 2: Convert to fraction form
    1,578,135/3,451,578 = 3,451,578/x
  3. Step 3: Cross multiply
    1,578,135x = 3,451,578 × 3,451,578
  4. Step 4: Simplify right side
    1,578,135x = 11,913,390,690,084
  5. Step 5: Solve for x
    x = 11,913,390,690,084/1,578,135
  6. Step 6: Final answer
    x = 7,549,031.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.