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Finding the Third Proportional to 583,218 and 900,669

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Solution

The third proportional to 583,218 and 900,669 is: 1,390,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,218 : 900,669 = 900,669 : x
  2. Step 2: Convert to fraction form
    583,218/900,669 = 900,669/x
  3. Step 3: Cross multiply
    583,218x = 900,669 × 900,669
  4. Step 4: Simplify right side
    583,218x = 811,204,647,561
  5. Step 5: Solve for x
    x = 811,204,647,561/583,218
  6. Step 6: Final answer
    x = 1,390,911.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.