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Finding the Third Proportional to 1,137,208 and 2,473,708

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Solution

The third proportional to 1,137,208 and 2,473,708 is: 5,380,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,208 : 2,473,708 = 2,473,708 : x
  2. Step 2: Convert to fraction form
    1,137,208/2,473,708 = 2,473,708/x
  3. Step 3: Cross multiply
    1,137,208x = 2,473,708 × 2,473,708
  4. Step 4: Simplify right side
    1,137,208x = 6,119,231,269,264
  5. Step 5: Solve for x
    x = 6,119,231,269,264/1,137,208
  6. Step 6: Final answer
    x = 5,380,925.27

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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.