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Finding the Third Proportional to 1,368,508.50 and 1,971,285.75

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Solution

The third proportional to 1,368,508.50 and 1,971,285.75 is: 2,839,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,508.50 : 1,971,285.75 = 1,971,285.75 : x
  2. Step 2: Convert to fraction form
    1,368,508.50/1,971,285.75 = 1,971,285.75/x
  3. Step 3: Cross multiply
    1,368,508.50x = 1,971,285.75 × 1,971,285.75
  4. Step 4: Simplify right side
    1,368,508.50x = 3,885,967,508,153.06
  5. Step 5: Solve for x
    x = 3,885,967,508,153.06/1,368,508.50
  6. Step 6: Final answer
    x = 2,839,564.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.