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Finding the Third Proportional to 424,626 and 909,982

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Solution

The third proportional to 424,626 and 909,982 is: 1,950,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,626 : 909,982 = 909,982 : x
  2. Step 2: Convert to fraction form
    424,626/909,982 = 909,982/x
  3. Step 3: Cross multiply
    424,626x = 909,982 × 909,982
  4. Step 4: Simplify right side
    424,626x = 828,067,240,324
  5. Step 5: Solve for x
    x = 828,067,240,324/424,626
  6. Step 6: Final answer
    x = 1,950,109.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.