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Finding the Third Proportional to 3,433,071 and 5,044,506

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Solution

The third proportional to 3,433,071 and 5,044,506 is: 7,412,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,071 : 5,044,506 = 5,044,506 : x
  2. Step 2: Convert to fraction form
    3,433,071/5,044,506 = 5,044,506/x
  3. Step 3: Cross multiply
    3,433,071x = 5,044,506 × 5,044,506
  4. Step 4: Simplify right side
    3,433,071x = 25,447,040,784,036
  5. Step 5: Solve for x
    x = 25,447,040,784,036/3,433,071
  6. Step 6: Final answer
    x = 7,412,325.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.