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Finding the Third Proportional to 2,032,253 and 2,972,089

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Solution

The third proportional to 2,032,253 and 2,972,089 is: 4,346,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,253 : 2,972,089 = 2,972,089 : x
  2. Step 2: Convert to fraction form
    2,032,253/2,972,089 = 2,972,089/x
  3. Step 3: Cross multiply
    2,032,253x = 2,972,089 × 2,972,089
  4. Step 4: Simplify right side
    2,032,253x = 8,833,313,023,921
  5. Step 5: Solve for x
    x = 8,833,313,023,921/2,032,253
  6. Step 6: Final answer
    x = 4,346,561.68

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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.