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Finding the Third Proportional to 4,767,984 and 7,195,716

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Solution

The third proportional to 4,767,984 and 7,195,716 is: 10,859,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767,984 : 7,195,716 = 7,195,716 : x
  2. Step 2: Convert to fraction form
    4,767,984/7,195,716 = 7,195,716/x
  3. Step 3: Cross multiply
    4,767,984x = 7,195,716 × 7,195,716
  4. Step 4: Simplify right side
    4,767,984x = 51,778,328,752,656
  5. Step 5: Solve for x
    x = 51,778,328,752,656/4,767,984
  6. Step 6: Final answer
    x = 10,859,585.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.