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Finding the Third Proportional to 1,467,723 and 2,974,887

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Solution

The third proportional to 1,467,723 and 2,974,887 is: 6,029,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,723 : 2,974,887 = 2,974,887 : x
  2. Step 2: Convert to fraction form
    1,467,723/2,974,887 = 2,974,887/x
  3. Step 3: Cross multiply
    1,467,723x = 2,974,887 × 2,974,887
  4. Step 4: Simplify right side
    1,467,723x = 8,849,952,662,769
  5. Step 5: Solve for x
    x = 8,849,952,662,769/1,467,723
  6. Step 6: Final answer
    x = 6,029,715.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.