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Finding the Third Proportional to 466,166 and 1,020,919

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Solution

The third proportional to 466,166 and 1,020,919 is: 2,235,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,166 : 1,020,919 = 1,020,919 : x
  2. Step 2: Convert to fraction form
    466,166/1,020,919 = 1,020,919/x
  3. Step 3: Cross multiply
    466,166x = 1,020,919 × 1,020,919
  4. Step 4: Simplify right side
    466,166x = 1,042,275,604,561
  5. Step 5: Solve for x
    x = 1,042,275,604,561/466,166
  6. Step 6: Final answer
    x = 2,235,846.47

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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.