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Finding the Third Proportional to 2,972,171 and 4,723,437

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Solution

The third proportional to 2,972,171 and 4,723,437 is: 7,506,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972,171 : 4,723,437 = 4,723,437 : x
  2. Step 2: Convert to fraction form
    2,972,171/4,723,437 = 4,723,437/x
  3. Step 3: Cross multiply
    2,972,171x = 4,723,437 × 4,723,437
  4. Step 4: Simplify right side
    2,972,171x = 22,310,857,092,969
  5. Step 5: Solve for x
    x = 22,310,857,092,969/2,972,171
  6. Step 6: Final answer
    x = 7,506,585.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.