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Finding the Third Proportional to 2,291,882 and 4,856,968

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Solution

The third proportional to 2,291,882 and 4,856,968 is: 10,292,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,882 : 4,856,968 = 4,856,968 : x
  2. Step 2: Convert to fraction form
    2,291,882/4,856,968 = 4,856,968/x
  3. Step 3: Cross multiply
    2,291,882x = 4,856,968 × 4,856,968
  4. Step 4: Simplify right side
    2,291,882x = 23,590,138,153,024
  5. Step 5: Solve for x
    x = 23,590,138,153,024/2,291,882
  6. Step 6: Final answer
    x = 10,292,911.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.