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Finding the Third Proportional to 562,982 and 1,213,444

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Solution

The third proportional to 562,982 and 1,213,444 is: 2,615,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,982 : 1,213,444 = 1,213,444 : x
  2. Step 2: Convert to fraction form
    562,982/1,213,444 = 1,213,444/x
  3. Step 3: Cross multiply
    562,982x = 1,213,444 × 1,213,444
  4. Step 4: Simplify right side
    562,982x = 1,472,446,341,136
  5. Step 5: Solve for x
    x = 1,472,446,341,136/562,982
  6. Step 6: Final answer
    x = 2,615,441.24

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