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Finding the Third Proportional to 2,050,924 and 4,488,020

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Solution

The third proportional to 2,050,924 and 4,488,020 is: 9,821,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,924 : 4,488,020 = 4,488,020 : x
  2. Step 2: Convert to fraction form
    2,050,924/4,488,020 = 4,488,020/x
  3. Step 3: Cross multiply
    2,050,924x = 4,488,020 × 4,488,020
  4. Step 4: Simplify right side
    2,050,924x = 20,142,323,520,400
  5. Step 5: Solve for x
    x = 20,142,323,520,400/2,050,924
  6. Step 6: Final answer
    x = 9,821,096.99

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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.