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Finding the Third Proportional to 2,051,209 and 4,488,482

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Solution

The third proportional to 2,051,209 and 4,488,482 is: 9,821,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,209 : 4,488,482 = 4,488,482 : x
  2. Step 2: Convert to fraction form
    2,051,209/4,488,482 = 4,488,482/x
  3. Step 3: Cross multiply
    2,051,209x = 4,488,482 × 4,488,482
  4. Step 4: Simplify right side
    2,051,209x = 20,146,470,664,324
  5. Step 5: Solve for x
    x = 20,146,470,664,324/2,051,209
  6. Step 6: Final answer
    x = 9,821,754.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.