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Finding the Third Proportional to 830,520.75 and 1,281,196.50

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Solution

The third proportional to 830,520.75 and 1,281,196.50 is: 1,976,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,520.75 : 1,281,196.50 = 1,281,196.50 : x
  2. Step 2: Convert to fraction form
    830,520.75/1,281,196.50 = 1,281,196.50/x
  3. Step 3: Cross multiply
    830,520.75x = 1,281,196.50 × 1,281,196.50
  4. Step 4: Simplify right side
    830,520.75x = 1,641,464,471,612.25
  5. Step 5: Solve for x
    x = 1,641,464,471,612.25/830,520.75
  6. Step 6: Final answer
    x = 1,976,428.01

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