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Finding the Third Proportional to 404,246 and 880,210

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Solution

The third proportional to 404,246 and 880,210 is: 1,916,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,246 : 880,210 = 880,210 : x
  2. Step 2: Convert to fraction form
    404,246/880,210 = 880,210/x
  3. Step 3: Cross multiply
    404,246x = 880,210 × 880,210
  4. Step 4: Simplify right side
    404,246x = 774,769,644,100
  5. Step 5: Solve for x
    x = 774,769,644,100/404,246
  6. Step 6: Final answer
    x = 1,916,579.62

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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.