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Finding the Third Proportional to 1,268,470 and 2,669,739.50

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Solution

The third proportional to 1,268,470 and 2,669,739.50 is: 5,618,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,470 : 2,669,739.50 = 2,669,739.50 : x
  2. Step 2: Convert to fraction form
    1,268,470/2,669,739.50 = 2,669,739.50/x
  3. Step 3: Cross multiply
    1,268,470x = 2,669,739.50 × 2,669,739.50
  4. Step 4: Simplify right side
    1,268,470x = 7,127,508,997,860.25
  5. Step 5: Solve for x
    x = 7,127,508,997,860.25/1,268,470
  6. Step 6: Final answer
    x = 5,618,981.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.