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Finding the Third Proportional to 1,340,824 and 2,932,312

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Solution

The third proportional to 1,340,824 and 2,932,312 is: 6,412,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,824 : 2,932,312 = 2,932,312 : x
  2. Step 2: Convert to fraction form
    1,340,824/2,932,312 = 2,932,312/x
  3. Step 3: Cross multiply
    1,340,824x = 2,932,312 × 2,932,312
  4. Step 4: Simplify right side
    1,340,824x = 8,598,453,665,344
  5. Step 5: Solve for x
    x = 8,598,453,665,344/1,340,824
  6. Step 6: Final answer
    x = 6,412,813.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.