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Finding the Third Proportional to 504,506 and 1,085,548

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Solution

The third proportional to 504,506 and 1,085,548 is: 2,335,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,506 : 1,085,548 = 1,085,548 : x
  2. Step 2: Convert to fraction form
    504,506/1,085,548 = 1,085,548/x
  3. Step 3: Cross multiply
    504,506x = 1,085,548 × 1,085,548
  4. Step 4: Simplify right side
    504,506x = 1,178,414,460,304
  5. Step 5: Solve for x
    x = 1,178,414,460,304/504,506
  6. Step 6: Final answer
    x = 2,335,778.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.