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Finding the Third Proportional to 561,334 and 1,199,942

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Solution

The third proportional to 561,334 and 1,199,942 is: 2,565,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,334 : 1,199,942 = 1,199,942 : x
  2. Step 2: Convert to fraction form
    561,334/1,199,942 = 1,199,942/x
  3. Step 3: Cross multiply
    561,334x = 1,199,942 × 1,199,942
  4. Step 4: Simplify right side
    561,334x = 1,439,860,803,364
  5. Step 5: Solve for x
    x = 1,439,860,803,364/561,334
  6. Step 6: Final answer
    x = 2,565,069.64

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