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Finding the Third Proportional to 677,357 and 1,492,942

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Solution

The third proportional to 677,357 and 1,492,942 is: 3,290,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,357 : 1,492,942 = 1,492,942 : x
  2. Step 2: Convert to fraction form
    677,357/1,492,942 = 1,492,942/x
  3. Step 3: Cross multiply
    677,357x = 1,492,942 × 1,492,942
  4. Step 4: Simplify right side
    677,357x = 2,228,875,815,364
  5. Step 5: Solve for x
    x = 2,228,875,815,364/677,357
  6. Step 6: Final answer
    x = 3,290,548.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.