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Finding the Third Proportional to 2,947,206 and 4,402,605

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Solution

The third proportional to 2,947,206 and 4,402,605 is: 6,576,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,206 : 4,402,605 = 4,402,605 : x
  2. Step 2: Convert to fraction form
    2,947,206/4,402,605 = 4,402,605/x
  3. Step 3: Cross multiply
    2,947,206x = 4,402,605 × 4,402,605
  4. Step 4: Simplify right side
    2,947,206x = 19,382,930,786,025
  5. Step 5: Solve for x
    x = 19,382,930,786,025/2,947,206
  6. Step 6: Final answer
    x = 6,576,713.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.