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Finding the Third Proportional to 1,277,242.50 and 2,128,651.75

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Solution

The third proportional to 1,277,242.50 and 2,128,651.75 is: 3,547,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,242.50 : 2,128,651.75 = 2,128,651.75 : x
  2. Step 2: Convert to fraction form
    1,277,242.50/2,128,651.75 = 2,128,651.75/x
  3. Step 3: Cross multiply
    1,277,242.50x = 2,128,651.75 × 2,128,651.75
  4. Step 4: Simplify right side
    1,277,242.50x = 4,531,158,272,778.06
  5. Step 5: Solve for x
    x = 4,531,158,272,778.06/1,277,242.50
  6. Step 6: Final answer
    x = 3,547,610.01

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.