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Finding the Third Proportional to 1,341,256.50 and 2,029,218.75

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Solution

The third proportional to 1,341,256.50 and 2,029,218.75 is: 3,070,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341,256.50 : 2,029,218.75 = 2,029,218.75 : x
  2. Step 2: Convert to fraction form
    1,341,256.50/2,029,218.75 = 2,029,218.75/x
  3. Step 3: Cross multiply
    1,341,256.50x = 2,029,218.75 × 2,029,218.75
  4. Step 4: Simplify right side
    1,341,256.50x = 4,117,728,735,351.56
  5. Step 5: Solve for x
    x = 4,117,728,735,351.56/1,341,256.50
  6. Step 6: Final answer
    x = 3,070,053.14

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Why These Related Problems?

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