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Finding the Third Proportional to 3,758,945 and 5,726,541

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Solution

The third proportional to 3,758,945 and 5,726,541 is: 8,724,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758,945 : 5,726,541 = 5,726,541 : x
  2. Step 2: Convert to fraction form
    3,758,945/5,726,541 = 5,726,541/x
  3. Step 3: Cross multiply
    3,758,945x = 5,726,541 × 5,726,541
  4. Step 4: Simplify right side
    3,758,945x = 32,793,271,824,681
  5. Step 5: Solve for x
    x = 32,793,271,824,681/3,758,945
  6. Step 6: Final answer
    x = 8,724,062.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.