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Finding the Third Proportional to 1,091,220 and 2,371,296

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Solution

The third proportional to 1,091,220 and 2,371,296 is: 5,152,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,220 : 2,371,296 = 2,371,296 : x
  2. Step 2: Convert to fraction form
    1,091,220/2,371,296 = 2,371,296/x
  3. Step 3: Cross multiply
    1,091,220x = 2,371,296 × 2,371,296
  4. Step 4: Simplify right side
    1,091,220x = 5,623,044,719,616
  5. Step 5: Solve for x
    x = 5,623,044,719,616/1,091,220
  6. Step 6: Final answer
    x = 5,152,989.06

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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.