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Finding the Third Proportional to 2,891,632 and 6,281,752

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Solution

The third proportional to 2,891,632 and 6,281,752 is: 13,646,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891,632 : 6,281,752 = 6,281,752 : x
  2. Step 2: Convert to fraction form
    2,891,632/6,281,752 = 6,281,752/x
  3. Step 3: Cross multiply
    2,891,632x = 6,281,752 × 6,281,752
  4. Step 4: Simplify right side
    2,891,632x = 39,460,408,189,504
  5. Step 5: Solve for x
    x = 39,460,408,189,504/2,891,632
  6. Step 6: Final answer
    x = 13,646,414.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.