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Finding the Third Proportional to 4,353,876 and 6,547,422

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Solution

The third proportional to 4,353,876 and 6,547,422 is: 9,846,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353,876 : 6,547,422 = 6,547,422 : x
  2. Step 2: Convert to fraction form
    4,353,876/6,547,422 = 6,547,422/x
  3. Step 3: Cross multiply
    4,353,876x = 6,547,422 × 6,547,422
  4. Step 4: Simplify right side
    4,353,876x = 42,868,734,846,084
  5. Step 5: Solve for x
    x = 42,868,734,846,084/4,353,876
  6. Step 6: Final answer
    x = 9,846,108.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.