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Finding the Third Proportional to 746,414 and 1,599,312

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Solution

The third proportional to 746,414 and 1,599,312 is: 3,426,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,414 : 1,599,312 = 1,599,312 : x
  2. Step 2: Convert to fraction form
    746,414/1,599,312 = 1,599,312/x
  3. Step 3: Cross multiply
    746,414x = 1,599,312 × 1,599,312
  4. Step 4: Simplify right side
    746,414x = 2,557,798,873,344
  5. Step 5: Solve for x
    x = 2,557,798,873,344/746,414
  6. Step 6: Final answer
    x = 3,426,783.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.