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Finding the Third Proportional to 2,621,854 and 5,608,046

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Solution

The third proportional to 2,621,854 and 5,608,046 is: 11,995,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621,854 : 5,608,046 = 5,608,046 : x
  2. Step 2: Convert to fraction form
    2,621,854/5,608,046 = 5,608,046/x
  3. Step 3: Cross multiply
    2,621,854x = 5,608,046 × 5,608,046
  4. Step 4: Simplify right side
    2,621,854x = 31,450,179,938,116
  5. Step 5: Solve for x
    x = 31,450,179,938,116/2,621,854
  6. Step 6: Final answer
    x = 11,995,397.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.