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Finding the Third Proportional to 727,063 and 1,553,085

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Solution

The third proportional to 727,063 and 1,553,085 is: 3,317,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,063 : 1,553,085 = 1,553,085 : x
  2. Step 2: Convert to fraction form
    727,063/1,553,085 = 1,553,085/x
  3. Step 3: Cross multiply
    727,063x = 1,553,085 × 1,553,085
  4. Step 4: Simplify right side
    727,063x = 2,412,073,017,225
  5. Step 5: Solve for x
    x = 2,412,073,017,225/727,063
  6. Step 6: Final answer
    x = 3,317,557.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.