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Finding the Third Proportional to 2,129,654 and 4,652,320

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Solution

The third proportional to 2,129,654 and 4,652,320 is: 10,163,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,654 : 4,652,320 = 4,652,320 : x
  2. Step 2: Convert to fraction form
    2,129,654/4,652,320 = 4,652,320/x
  3. Step 3: Cross multiply
    2,129,654x = 4,652,320 × 4,652,320
  4. Step 4: Simplify right side
    2,129,654x = 21,644,081,382,400
  5. Step 5: Solve for x
    x = 21,644,081,382,400/2,129,654
  6. Step 6: Final answer
    x = 10,163,191.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.