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Finding the Third Proportional to 403,048 and 869,032

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Solution

The third proportional to 403,048 and 869,032 is: 1,873,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,048 : 869,032 = 869,032 : x
  2. Step 2: Convert to fraction form
    403,048/869,032 = 869,032/x
  3. Step 3: Cross multiply
    403,048x = 869,032 × 869,032
  4. Step 4: Simplify right side
    403,048x = 755,216,617,024
  5. Step 5: Solve for x
    x = 755,216,617,024/403,048
  6. Step 6: Final answer
    x = 1,873,763.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.