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Finding the Third Proportional to 2,373,509 and 3,677,541

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Solution

The third proportional to 2,373,509 and 3,677,541 is: 5,698,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373,509 : 3,677,541 = 3,677,541 : x
  2. Step 2: Convert to fraction form
    2,373,509/3,677,541 = 3,677,541/x
  3. Step 3: Cross multiply
    2,373,509x = 3,677,541 × 3,677,541
  4. Step 4: Simplify right side
    2,373,509x = 13,524,307,806,681
  5. Step 5: Solve for x
    x = 13,524,307,806,681/2,373,509
  6. Step 6: Final answer
    x = 5,698,022.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.