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Finding the Third Proportional to 1,037,608 and 2,272,052

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Solution

The third proportional to 1,037,608 and 2,272,052 is: 4,975,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,608 : 2,272,052 = 2,272,052 : x
  2. Step 2: Convert to fraction form
    1,037,608/2,272,052 = 2,272,052/x
  3. Step 3: Cross multiply
    1,037,608x = 2,272,052 × 2,272,052
  4. Step 4: Simplify right side
    1,037,608x = 5,162,220,290,704
  5. Step 5: Solve for x
    x = 5,162,220,290,704/1,037,608
  6. Step 6: Final answer
    x = 4,975,116.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.