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Finding the Third Proportional to 550,312 and 1,192,222

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Solution

The third proportional to 550,312 and 1,192,222 is: 2,582,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,312 : 1,192,222 = 1,192,222 : x
  2. Step 2: Convert to fraction form
    550,312/1,192,222 = 1,192,222/x
  3. Step 3: Cross multiply
    550,312x = 1,192,222 × 1,192,222
  4. Step 4: Simplify right side
    550,312x = 1,421,393,297,284
  5. Step 5: Solve for x
    x = 1,421,393,297,284/550,312
  6. Step 6: Final answer
    x = 2,582,886.25

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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.