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Finding the Third Proportional to 830,542.50 and 1,262,610

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Solution

The third proportional to 830,542.50 and 1,262,610 is: 1,919,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,542.50 : 1,262,610 = 1,262,610 : x
  2. Step 2: Convert to fraction form
    830,542.50/1,262,610 = 1,262,610/x
  3. Step 3: Cross multiply
    830,542.50x = 1,262,610 × 1,262,610
  4. Step 4: Simplify right side
    830,542.50x = 1,594,184,012,100
  5. Step 5: Solve for x
    x = 1,594,184,012,100/830,542.50
  6. Step 6: Final answer
    x = 1,919,449.05

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