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Finding the Third Proportional to 490,588 and 1,059,920

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Solution

The third proportional to 490,588 and 1,059,920 is: 2,289,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,588 : 1,059,920 = 1,059,920 : x
  2. Step 2: Convert to fraction form
    490,588/1,059,920 = 1,059,920/x
  3. Step 3: Cross multiply
    490,588x = 1,059,920 × 1,059,920
  4. Step 4: Simplify right side
    490,588x = 1,123,430,406,400
  5. Step 5: Solve for x
    x = 1,123,430,406,400/490,588
  6. Step 6: Final answer
    x = 2,289,967.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.