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Finding the Third Proportional to 1,127,742 and 2,431,533

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Solution

The third proportional to 1,127,742 and 2,431,533 is: 5,242,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,742 : 2,431,533 = 2,431,533 : x
  2. Step 2: Convert to fraction form
    1,127,742/2,431,533 = 2,431,533/x
  3. Step 3: Cross multiply
    1,127,742x = 2,431,533 × 2,431,533
  4. Step 4: Simplify right side
    1,127,742x = 5,912,352,730,089
  5. Step 5: Solve for x
    x = 5,912,352,730,089/1,127,742
  6. Step 6: Final answer
    x = 5,242,646.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.