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Finding the Third Proportional to 485,217 and 1,036,935

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Solution

The third proportional to 485,217 and 1,036,935 is: 2,215,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,217 : 1,036,935 = 1,036,935 : x
  2. Step 2: Convert to fraction form
    485,217/1,036,935 = 1,036,935/x
  3. Step 3: Cross multiply
    485,217x = 1,036,935 × 1,036,935
  4. Step 4: Simplify right side
    485,217x = 1,075,234,194,225
  5. Step 5: Solve for x
    x = 1,075,234,194,225/485,217
  6. Step 6: Final answer
    x = 2,215,986.24

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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.