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Finding the Third Proportional to 2,113,822 and 4,526,580

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Solution

The third proportional to 2,113,822 and 4,526,580 is: 9,693,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113,822 : 4,526,580 = 4,526,580 : x
  2. Step 2: Convert to fraction form
    2,113,822/4,526,580 = 4,526,580/x
  3. Step 3: Cross multiply
    2,113,822x = 4,526,580 × 4,526,580
  4. Step 4: Simplify right side
    2,113,822x = 20,489,926,496,400
  5. Step 5: Solve for x
    x = 20,489,926,496,400/2,113,822
  6. Step 6: Final answer
    x = 9,693,307.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.