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Finding the Third Proportional to 1,047,680 and 2,287,272

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Solution

The third proportional to 1,047,680 and 2,287,272 is: 4,993,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,680 : 2,287,272 = 2,287,272 : x
  2. Step 2: Convert to fraction form
    1,047,680/2,287,272 = 2,287,272/x
  3. Step 3: Cross multiply
    1,047,680x = 2,287,272 × 2,287,272
  4. Step 4: Simplify right side
    1,047,680x = 5,231,613,201,984
  5. Step 5: Solve for x
    x = 5,231,613,201,984/1,047,680
  6. Step 6: Final answer
    x = 4,993,522.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.