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Finding the Third Proportional to 972,548 and 2,022,408

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Solution

The third proportional to 972,548 and 2,022,408 is: 4,205,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,548 : 2,022,408 = 2,022,408 : x
  2. Step 2: Convert to fraction form
    972,548/2,022,408 = 2,022,408/x
  3. Step 3: Cross multiply
    972,548x = 2,022,408 × 2,022,408
  4. Step 4: Simplify right side
    972,548x = 4,090,134,118,464
  5. Step 5: Solve for x
    x = 4,090,134,118,464/972,548
  6. Step 6: Final answer
    x = 4,205,585.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.