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Finding the Third Proportional to 1,294,782.50 and 1,960,164.50

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Solution

The third proportional to 1,294,782.50 and 1,960,164.50 is: 2,967,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,782.50 : 1,960,164.50 = 1,960,164.50 : x
  2. Step 2: Convert to fraction form
    1,294,782.50/1,960,164.50 = 1,960,164.50/x
  3. Step 3: Cross multiply
    1,294,782.50x = 1,960,164.50 × 1,960,164.50
  4. Step 4: Simplify right side
    1,294,782.50x = 3,842,244,867,060.25
  5. Step 5: Solve for x
    x = 3,842,244,867,060.25/1,294,782.50
  6. Step 6: Final answer
    x = 2,967,482.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.