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Finding the Third Proportional to 404,476 and 881,340

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Solution

The third proportional to 404,476 and 881,340 is: 1,920,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,476 : 881,340 = 881,340 : x
  2. Step 2: Convert to fraction form
    404,476/881,340 = 881,340/x
  3. Step 3: Cross multiply
    404,476x = 881,340 × 881,340
  4. Step 4: Simplify right side
    404,476x = 776,760,195,600
  5. Step 5: Solve for x
    x = 776,760,195,600/404,476
  6. Step 6: Final answer
    x = 1,920,411.09

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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.