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Finding the Third Proportional to 1,132,134 and 2,463,570

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Solution

The third proportional to 1,132,134 and 2,463,570 is: 5,360,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,134 : 2,463,570 = 2,463,570 : x
  2. Step 2: Convert to fraction form
    1,132,134/2,463,570 = 2,463,570/x
  3. Step 3: Cross multiply
    1,132,134x = 2,463,570 × 2,463,570
  4. Step 4: Simplify right side
    1,132,134x = 6,069,177,144,900
  5. Step 5: Solve for x
    x = 6,069,177,144,900/1,132,134
  6. Step 6: Final answer
    x = 5,360,829.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.