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Finding the Third Proportional to 1,585,700 and 2,260,452

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Solution

The third proportional to 1,585,700 and 2,260,452 is: 3,222,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,700 : 2,260,452 = 2,260,452 : x
  2. Step 2: Convert to fraction form
    1,585,700/2,260,452 = 2,260,452/x
  3. Step 3: Cross multiply
    1,585,700x = 2,260,452 × 2,260,452
  4. Step 4: Simplify right side
    1,585,700x = 5,109,643,244,304
  5. Step 5: Solve for x
    x = 5,109,643,244,304/1,585,700
  6. Step 6: Final answer
    x = 3,222,326.57

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Why These Related Problems?

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