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Finding the Third Proportional to 835,579 and 1,272,952.50

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Solution

The third proportional to 835,579 and 1,272,952.50 is: 1,939,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,579 : 1,272,952.50 = 1,272,952.50 : x
  2. Step 2: Convert to fraction form
    835,579/1,272,952.50 = 1,272,952.50/x
  3. Step 3: Cross multiply
    835,579x = 1,272,952.50 × 1,272,952.50
  4. Step 4: Simplify right side
    835,579x = 1,620,408,067,256.25
  5. Step 5: Solve for x
    x = 1,620,408,067,256.25/835,579
  6. Step 6: Final answer
    x = 1,939,263.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.