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Finding the Third Proportional to 492,808 and 1,068,496

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Solution

The third proportional to 492,808 and 1,068,496 is: 2,316,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,808 : 1,068,496 = 1,068,496 : x
  2. Step 2: Convert to fraction form
    492,808/1,068,496 = 1,068,496/x
  3. Step 3: Cross multiply
    492,808x = 1,068,496 × 1,068,496
  4. Step 4: Simplify right side
    492,808x = 1,141,683,702,016
  5. Step 5: Solve for x
    x = 1,141,683,702,016/492,808
  6. Step 6: Final answer
    x = 2,316,690.68

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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.