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Finding the Third Proportional to 405,348 and 879,924

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Solution

The third proportional to 405,348 and 879,924 is: 1,910,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,348 : 879,924 = 879,924 : x
  2. Step 2: Convert to fraction form
    405,348/879,924 = 879,924/x
  3. Step 3: Cross multiply
    405,348x = 879,924 × 879,924
  4. Step 4: Simplify right side
    405,348x = 774,266,245,776
  5. Step 5: Solve for x
    x = 774,266,245,776/405,348
  6. Step 6: Final answer
    x = 1,910,127.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.