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Finding the Third Proportional to 870,971 and 1,368,665

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Solution

The third proportional to 870,971 and 1,368,665 is: 2,150,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,971 : 1,368,665 = 1,368,665 : x
  2. Step 2: Convert to fraction form
    870,971/1,368,665 = 1,368,665/x
  3. Step 3: Cross multiply
    870,971x = 1,368,665 × 1,368,665
  4. Step 4: Simplify right side
    870,971x = 1,873,243,882,225
  5. Step 5: Solve for x
    x = 1,873,243,882,225/870,971
  6. Step 6: Final answer
    x = 2,150,753.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.