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Finding the Third Proportional to 2,413,860 and 5,026,140

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Solution

The third proportional to 2,413,860 and 5,026,140 is: 10,465,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,860 : 5,026,140 = 5,026,140 : x
  2. Step 2: Convert to fraction form
    2,413,860/5,026,140 = 5,026,140/x
  3. Step 3: Cross multiply
    2,413,860x = 5,026,140 × 5,026,140
  4. Step 4: Simplify right side
    2,413,860x = 25,262,083,299,600
  5. Step 5: Solve for x
    x = 25,262,083,299,600/2,413,860
  6. Step 6: Final answer
    x = 10,465,430.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.