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Finding the Third Proportional to 535,833 and 1,155,796.50

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Solution

The third proportional to 535,833 and 1,155,796.50 is: 2,493,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,833 : 1,155,796.50 = 1,155,796.50 : x
  2. Step 2: Convert to fraction form
    535,833/1,155,796.50 = 1,155,796.50/x
  3. Step 3: Cross multiply
    535,833x = 1,155,796.50 × 1,155,796.50
  4. Step 4: Simplify right side
    535,833x = 1,335,865,549,412.25
  5. Step 5: Solve for x
    x = 1,335,865,549,412.25/535,833
  6. Step 6: Final answer
    x = 2,493,063.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.