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Finding the Third Proportional to 1,109,271 and 1,585,175

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Solution

The third proportional to 1,109,271 and 1,585,175 is: 2,265,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,271 : 1,585,175 = 1,585,175 : x
  2. Step 2: Convert to fraction form
    1,109,271/1,585,175 = 1,585,175/x
  3. Step 3: Cross multiply
    1,109,271x = 1,585,175 × 1,585,175
  4. Step 4: Simplify right side
    1,109,271x = 2,512,779,780,625
  5. Step 5: Solve for x
    x = 2,512,779,780,625/1,109,271
  6. Step 6: Final answer
    x = 2,265,253.29

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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.