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Finding the Third Proportional to 1,010,659.50 and 1,478,367.50

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Solution

The third proportional to 1,010,659.50 and 1,478,367.50 is: 2,162,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,659.50 : 1,478,367.50 = 1,478,367.50 : x
  2. Step 2: Convert to fraction form
    1,010,659.50/1,478,367.50 = 1,478,367.50/x
  3. Step 3: Cross multiply
    1,010,659.50x = 1,478,367.50 × 1,478,367.50
  4. Step 4: Simplify right side
    1,010,659.50x = 2,185,570,465,056.25
  5. Step 5: Solve for x
    x = 2,185,570,465,056.25/1,010,659.50
  6. Step 6: Final answer
    x = 2,162,519.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.