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Finding the Third Proportional to 1,109,090 and 1,584,849

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Solution

The third proportional to 1,109,090 and 1,584,849 is: 2,264,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,090 : 1,584,849 = 1,584,849 : x
  2. Step 2: Convert to fraction form
    1,109,090/1,584,849 = 1,584,849/x
  3. Step 3: Cross multiply
    1,109,090x = 1,584,849 × 1,584,849
  4. Step 4: Simplify right side
    1,109,090x = 2,511,746,352,801
  5. Step 5: Solve for x
    x = 2,511,746,352,801/1,109,090
  6. Step 6: Final answer
    x = 2,264,691.19

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.