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Finding the Third Proportional to 2,023,594 and 4,334,089

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Solution

The third proportional to 2,023,594 and 4,334,089 is: 9,282,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,594 : 4,334,089 = 4,334,089 : x
  2. Step 2: Convert to fraction form
    2,023,594/4,334,089 = 4,334,089/x
  3. Step 3: Cross multiply
    2,023,594x = 4,334,089 × 4,334,089
  4. Step 4: Simplify right side
    2,023,594x = 18,784,327,459,921
  5. Step 5: Solve for x
    x = 18,784,327,459,921/2,023,594
  6. Step 6: Final answer
    x = 9,282,656.23

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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.