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Finding the Third Proportional to 2,020,288.50 and 4,488,981.19

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Solution

The third proportional to 2,020,288.50 and 4,488,981.19 is: 9,974,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,288.50 : 4,488,981.19 = 4,488,981.19 : x
  2. Step 2: Convert to fraction form
    2,020,288.50/4,488,981.19 = 4,488,981.19/x
  3. Step 3: Cross multiply
    2,020,288.50x = 4,488,981.19 × 4,488,981.19
  4. Step 4: Simplify right side
    2,020,288.50x = 20,150,952,101,728.91
  5. Step 5: Solve for x
    x = 20,150,952,101,728.91/2,020,288.50
  6. Step 6: Final answer
    x = 9,974,294.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.