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Finding the Third Proportional to 562,686 and 1,221,492

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Solution

The third proportional to 562,686 and 1,221,492 is: 2,651,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,686 : 1,221,492 = 1,221,492 : x
  2. Step 2: Convert to fraction form
    562,686/1,221,492 = 1,221,492/x
  3. Step 3: Cross multiply
    562,686x = 1,221,492 × 1,221,492
  4. Step 4: Simplify right side
    562,686x = 1,492,042,706,064
  5. Step 5: Solve for x
    x = 1,492,042,706,064/562,686
  6. Step 6: Final answer
    x = 2,651,643.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.