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Finding the Third Proportional to 407,964 and 888,510

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Solution

The third proportional to 407,964 and 888,510 is: 1,935,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,964 : 888,510 = 888,510 : x
  2. Step 2: Convert to fraction form
    407,964/888,510 = 888,510/x
  3. Step 3: Cross multiply
    407,964x = 888,510 × 888,510
  4. Step 4: Simplify right side
    407,964x = 789,450,020,100
  5. Step 5: Solve for x
    x = 789,450,020,100/407,964
  6. Step 6: Final answer
    x = 1,935,097.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.