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Finding the Third Proportional to 1,047,762 and 2,232,900

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Solution

The third proportional to 1,047,762 and 2,232,900 is: 4,758,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,762 : 2,232,900 = 2,232,900 : x
  2. Step 2: Convert to fraction form
    1,047,762/2,232,900 = 2,232,900/x
  3. Step 3: Cross multiply
    1,047,762x = 2,232,900 × 2,232,900
  4. Step 4: Simplify right side
    1,047,762x = 4,985,842,410,000
  5. Step 5: Solve for x
    x = 4,985,842,410,000/1,047,762
  6. Step 6: Final answer
    x = 4,758,563.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.