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Finding the Third Proportional to 2,173,679 and 4,767,261

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Solution

The third proportional to 2,173,679 and 4,767,261 is: 10,455,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,679 : 4,767,261 = 4,767,261 : x
  2. Step 2: Convert to fraction form
    2,173,679/4,767,261 = 4,767,261/x
  3. Step 3: Cross multiply
    2,173,679x = 4,767,261 × 4,767,261
  4. Step 4: Simplify right side
    2,173,679x = 22,726,777,442,121
  5. Step 5: Solve for x
    x = 22,726,777,442,121/2,173,679
  6. Step 6: Final answer
    x = 10,455,443.26

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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.