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Finding the Third Proportional to 1,129,184 and 2,351,296

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Solution

The third proportional to 1,129,184 and 2,351,296 is: 4,896,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,184 : 2,351,296 = 2,351,296 : x
  2. Step 2: Convert to fraction form
    1,129,184/2,351,296 = 2,351,296/x
  3. Step 3: Cross multiply
    1,129,184x = 2,351,296 × 2,351,296
  4. Step 4: Simplify right side
    1,129,184x = 5,528,592,879,616
  5. Step 5: Solve for x
    x = 5,528,592,879,616/1,129,184
  6. Step 6: Final answer
    x = 4,896,095.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.