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Finding the Third Proportional to 2,041,508 and 4,292,000

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Solution

The third proportional to 2,041,508 and 4,292,000 is: 9,023,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,508 : 4,292,000 = 4,292,000 : x
  2. Step 2: Convert to fraction form
    2,041,508/4,292,000 = 4,292,000/x
  3. Step 3: Cross multiply
    2,041,508x = 4,292,000 × 4,292,000
  4. Step 4: Simplify right side
    2,041,508x = 18,421,264,000,000
  5. Step 5: Solve for x
    x = 18,421,264,000,000/2,041,508
  6. Step 6: Final answer
    x = 9,023,361.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.