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Finding the Third Proportional to 2,415,230 and 5,118,424

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Solution

The third proportional to 2,415,230 and 5,118,424 is: 10,847,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415,230 : 5,118,424 = 5,118,424 : x
  2. Step 2: Convert to fraction form
    2,415,230/5,118,424 = 5,118,424/x
  3. Step 3: Cross multiply
    2,415,230x = 5,118,424 × 5,118,424
  4. Step 4: Simplify right side
    2,415,230x = 26,198,264,243,776
  5. Step 5: Solve for x
    x = 26,198,264,243,776/2,415,230
  6. Step 6: Final answer
    x = 10,847,109.49

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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.