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Finding the Third Proportional to 1,041,034 and 2,507,893

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Solution

The third proportional to 1,041,034 and 2,507,893 is: 6,041,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,034 : 2,507,893 = 2,507,893 : x
  2. Step 2: Convert to fraction form
    1,041,034/2,507,893 = 2,507,893/x
  3. Step 3: Cross multiply
    1,041,034x = 2,507,893 × 2,507,893
  4. Step 4: Simplify right side
    1,041,034x = 6,289,527,299,449
  5. Step 5: Solve for x
    x = 6,289,527,299,449/1,041,034
  6. Step 6: Final answer
    x = 6,041,615.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.