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Finding the Third Proportional to 2,128,486 and 4,533,020

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Solution

The third proportional to 2,128,486 and 4,533,020 is: 9,653,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,486 : 4,533,020 = 4,533,020 : x
  2. Step 2: Convert to fraction form
    2,128,486/4,533,020 = 4,533,020/x
  3. Step 3: Cross multiply
    2,128,486x = 4,533,020 × 4,533,020
  4. Step 4: Simplify right side
    2,128,486x = 20,548,270,320,400
  5. Step 5: Solve for x
    x = 20,548,270,320,400/2,128,486
  6. Step 6: Final answer
    x = 9,653,937.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.