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Finding the Third Proportional to 2,547,780 and 6,005,922

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Solution

The third proportional to 2,547,780 and 6,005,922 is: 14,157,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547,780 : 6,005,922 = 6,005,922 : x
  2. Step 2: Convert to fraction form
    2,547,780/6,005,922 = 6,005,922/x
  3. Step 3: Cross multiply
    2,547,780x = 6,005,922 × 6,005,922
  4. Step 4: Simplify right side
    2,547,780x = 36,071,099,070,084
  5. Step 5: Solve for x
    x = 36,071,099,070,084/2,547,780
  6. Step 6: Final answer
    x = 14,157,854.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.