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Finding the Third Proportional to 495,612 and 1,086,210

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Solution

The third proportional to 495,612 and 1,086,210 is: 2,380,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,612 : 1,086,210 = 1,086,210 : x
  2. Step 2: Convert to fraction form
    495,612/1,086,210 = 1,086,210/x
  3. Step 3: Cross multiply
    495,612x = 1,086,210 × 1,086,210
  4. Step 4: Simplify right side
    495,612x = 1,179,852,164,100
  5. Step 5: Solve for x
    x = 1,179,852,164,100/495,612
  6. Step 6: Final answer
    x = 2,380,596.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.