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Finding the Third Proportional to 404,246 and 880,209

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Solution

The third proportional to 404,246 and 880,209 is: 1,916,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,246 : 880,209 = 880,209 : x
  2. Step 2: Convert to fraction form
    404,246/880,209 = 880,209/x
  3. Step 3: Cross multiply
    404,246x = 880,209 × 880,209
  4. Step 4: Simplify right side
    404,246x = 774,767,883,681
  5. Step 5: Solve for x
    x = 774,767,883,681/404,246
  6. Step 6: Final answer
    x = 1,916,575.26

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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.