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Finding the Third Proportional to 562,306 and 1,213,186

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Solution

The third proportional to 562,306 and 1,213,186 is: 2,617,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,306 : 1,213,186 = 1,213,186 : x
  2. Step 2: Convert to fraction form
    562,306/1,213,186 = 1,213,186/x
  3. Step 3: Cross multiply
    562,306x = 1,213,186 × 1,213,186
  4. Step 4: Simplify right side
    562,306x = 1,471,820,270,596
  5. Step 5: Solve for x
    x = 1,471,820,270,596/562,306
  6. Step 6: Final answer
    x = 2,617,472.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.