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Finding the Third Proportional to 3,465,945 and 5,070,567

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Solution

The third proportional to 3,465,945 and 5,070,567 is: 7,418,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465,945 : 5,070,567 = 5,070,567 : x
  2. Step 2: Convert to fraction form
    3,465,945/5,070,567 = 5,070,567/x
  3. Step 3: Cross multiply
    3,465,945x = 5,070,567 × 5,070,567
  4. Step 4: Simplify right side
    3,465,945x = 25,710,649,701,489
  5. Step 5: Solve for x
    x = 25,710,649,701,489/3,465,945
  6. Step 6: Final answer
    x = 7,418,077.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.