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Finding the Third Proportional to 485,224 and 1,036,952

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Solution

The third proportional to 485,224 and 1,036,952 is: 2,216,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,224 : 1,036,952 = 1,036,952 : x
  2. Step 2: Convert to fraction form
    485,224/1,036,952 = 1,036,952/x
  3. Step 3: Cross multiply
    485,224x = 1,036,952 × 1,036,952
  4. Step 4: Simplify right side
    485,224x = 1,075,269,450,304
  5. Step 5: Solve for x
    x = 1,075,269,450,304/485,224
  6. Step 6: Final answer
    x = 2,216,026.93

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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.