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Finding the Third Proportional to 830,548.50 and 1,262,619

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Solution

The third proportional to 830,548.50 and 1,262,619 is: 1,919,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,548.50 : 1,262,619 = 1,262,619 : x
  2. Step 2: Convert to fraction form
    830,548.50/1,262,619 = 1,262,619/x
  3. Step 3: Cross multiply
    830,548.50x = 1,262,619 × 1,262,619
  4. Step 4: Simplify right side
    830,548.50x = 1,594,206,739,161
  5. Step 5: Solve for x
    x = 1,594,206,739,161/830,548.50
  6. Step 6: Final answer
    x = 1,919,462.55

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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.