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Finding the Third Proportional to 740,413 and 1,574,249

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Solution

The third proportional to 740,413 and 1,574,249 is: 3,347,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,413 : 1,574,249 = 1,574,249 : x
  2. Step 2: Convert to fraction form
    740,413/1,574,249 = 1,574,249/x
  3. Step 3: Cross multiply
    740,413x = 1,574,249 × 1,574,249
  4. Step 4: Simplify right side
    740,413x = 2,478,259,914,001
  5. Step 5: Solve for x
    x = 2,478,259,914,001/740,413
  6. Step 6: Final answer
    x = 3,347,131.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.