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Finding the Third Proportional to 982,316 and 1,467,414

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Solution

The third proportional to 982,316 and 1,467,414 is: 2,192,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,316 : 1,467,414 = 1,467,414 : x
  2. Step 2: Convert to fraction form
    982,316/1,467,414 = 1,467,414/x
  3. Step 3: Cross multiply
    982,316x = 1,467,414 × 1,467,414
  4. Step 4: Simplify right side
    982,316x = 2,153,303,847,396
  5. Step 5: Solve for x
    x = 2,153,303,847,396/982,316
  6. Step 6: Final answer
    x = 2,192,068.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.