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Finding the Third Proportional to 1,028,166 and 1,581,417

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Solution

The third proportional to 1,028,166 and 1,581,417 is: 2,432,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,166 : 1,581,417 = 1,581,417 : x
  2. Step 2: Convert to fraction form
    1,028,166/1,581,417 = 1,581,417/x
  3. Step 3: Cross multiply
    1,028,166x = 1,581,417 × 1,581,417
  4. Step 4: Simplify right side
    1,028,166x = 2,500,879,727,889
  5. Step 5: Solve for x
    x = 2,500,879,727,889/1,028,166
  6. Step 6: Final answer
    x = 2,432,369.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.