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Finding the Third Proportional to 550,294 and 1,192,190

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Solution

The third proportional to 550,294 and 1,192,190 is: 2,582,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,294 : 1,192,190 = 1,192,190 : x
  2. Step 2: Convert to fraction form
    550,294/1,192,190 = 1,192,190/x
  3. Step 3: Cross multiply
    550,294x = 1,192,190 × 1,192,190
  4. Step 4: Simplify right side
    550,294x = 1,421,316,996,100
  5. Step 5: Solve for x
    x = 1,421,316,996,100/550,294
  6. Step 6: Final answer
    x = 2,582,832.08

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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.