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Finding the Third Proportional to 2,427,586 and 5,312,333

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Solution

The third proportional to 2,427,586 and 5,312,333 is: 11,625,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427,586 : 5,312,333 = 5,312,333 : x
  2. Step 2: Convert to fraction form
    2,427,586/5,312,333 = 5,312,333/x
  3. Step 3: Cross multiply
    2,427,586x = 5,312,333 × 5,312,333
  4. Step 4: Simplify right side
    2,427,586x = 28,220,881,902,889
  5. Step 5: Solve for x
    x = 28,220,881,902,889/2,427,586
  6. Step 6: Final answer
    x = 11,625,080.18

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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.