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Finding the Third Proportional to 866,566 and 1,870,143

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Solution

The third proportional to 866,566 and 1,870,143 is: 4,035,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,566 : 1,870,143 = 1,870,143 : x
  2. Step 2: Convert to fraction form
    866,566/1,870,143 = 1,870,143/x
  3. Step 3: Cross multiply
    866,566x = 1,870,143 × 1,870,143
  4. Step 4: Simplify right side
    866,566x = 3,497,434,840,449
  5. Step 5: Solve for x
    x = 3,497,434,840,449/866,566
  6. Step 6: Final answer
    x = 4,035,970.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.