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Finding the Third Proportional to 906,645 and 1,968,522

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Solution

The third proportional to 906,645 and 1,968,522 is: 4,274,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,645 : 1,968,522 = 1,968,522 : x
  2. Step 2: Convert to fraction form
    906,645/1,968,522 = 1,968,522/x
  3. Step 3: Cross multiply
    906,645x = 1,968,522 × 1,968,522
  4. Step 4: Simplify right side
    906,645x = 3,875,078,864,484
  5. Step 5: Solve for x
    x = 3,875,078,864,484/906,645
  6. Step 6: Final answer
    x = 4,274,086.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.