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Finding the Third Proportional to 846,857 and 1,816,510

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Solution

The third proportional to 846,857 and 1,816,510 is: 3,896,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,857 : 1,816,510 = 1,816,510 : x
  2. Step 2: Convert to fraction form
    846,857/1,816,510 = 1,816,510/x
  3. Step 3: Cross multiply
    846,857x = 1,816,510 × 1,816,510
  4. Step 4: Simplify right side
    846,857x = 3,299,708,580,100
  5. Step 5: Solve for x
    x = 3,299,708,580,100/846,857
  6. Step 6: Final answer
    x = 3,896,417.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.