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Finding the Third Proportional to 1,272,659.50 and 1,780,196

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Solution

The third proportional to 1,272,659.50 and 1,780,196 is: 2,490,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,659.50 : 1,780,196 = 1,780,196 : x
  2. Step 2: Convert to fraction form
    1,272,659.50/1,780,196 = 1,780,196/x
  3. Step 3: Cross multiply
    1,272,659.50x = 1,780,196 × 1,780,196
  4. Step 4: Simplify right side
    1,272,659.50x = 3,169,097,798,416
  5. Step 5: Solve for x
    x = 3,169,097,798,416/1,272,659.50
  6. Step 6: Final answer
    x = 2,490,138.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.