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Finding the Third Proportional to 2,051,208 and 4,488,480

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Solution

The third proportional to 2,051,208 and 4,488,480 is: 9,821,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,208 : 4,488,480 = 4,488,480 : x
  2. Step 2: Convert to fraction form
    2,051,208/4,488,480 = 4,488,480/x
  3. Step 3: Cross multiply
    2,051,208x = 4,488,480 × 4,488,480
  4. Step 4: Simplify right side
    2,051,208x = 20,146,452,710,400
  5. Step 5: Solve for x
    x = 20,146,452,710,400/2,051,208
  6. Step 6: Final answer
    x = 9,821,750.26

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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.