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Finding the Third Proportional to 485,232 and 1,036,962

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Solution

The third proportional to 485,232 and 1,036,962 is: 2,216,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,232 : 1,036,962 = 1,036,962 : x
  2. Step 2: Convert to fraction form
    485,232/1,036,962 = 1,036,962/x
  3. Step 3: Cross multiply
    485,232x = 1,036,962 × 1,036,962
  4. Step 4: Simplify right side
    485,232x = 1,075,290,189,444
  5. Step 5: Solve for x
    x = 1,075,290,189,444/485,232
  6. Step 6: Final answer
    x = 2,216,033.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.