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Finding the Third Proportional to 1,109,276 and 1,585,144

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Solution

The third proportional to 1,109,276 and 1,585,144 is: 2,265,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,276 : 1,585,144 = 1,585,144 : x
  2. Step 2: Convert to fraction form
    1,109,276/1,585,144 = 1,585,144/x
  3. Step 3: Cross multiply
    1,109,276x = 1,585,144 × 1,585,144
  4. Step 4: Simplify right side
    1,109,276x = 2,512,681,500,736
  5. Step 5: Solve for x
    x = 2,512,681,500,736/1,109,276
  6. Step 6: Final answer
    x = 2,265,154.48

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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.