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Finding the Third Proportional to 2,030,898 and 4,460,412

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Solution

The third proportional to 2,030,898 and 4,460,412 is: 9,796,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,898 : 4,460,412 = 4,460,412 : x
  2. Step 2: Convert to fraction form
    2,030,898/4,460,412 = 4,460,412/x
  3. Step 3: Cross multiply
    2,030,898x = 4,460,412 × 4,460,412
  4. Step 4: Simplify right side
    2,030,898x = 19,895,275,209,744
  5. Step 5: Solve for x
    x = 19,895,275,209,744/2,030,898
  6. Step 6: Final answer
    x = 9,796,294.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.