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Finding the Third Proportional to 2,431,458 and 5,291,046

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Solution

The third proportional to 2,431,458 and 5,291,046 is: 11,513,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,458 : 5,291,046 = 5,291,046 : x
  2. Step 2: Convert to fraction form
    2,431,458/5,291,046 = 5,291,046/x
  3. Step 3: Cross multiply
    2,431,458x = 5,291,046 × 5,291,046
  4. Step 4: Simplify right side
    2,431,458x = 27,995,167,774,116
  5. Step 5: Solve for x
    x = 27,995,167,774,116/2,431,458
  6. Step 6: Final answer
    x = 11,513,736.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.