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Finding the Third Proportional to 971,036.25 and 1,519,937.25

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Solution

The third proportional to 971,036.25 and 1,519,937.25 is: 2,379,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,036.25 : 1,519,937.25 = 1,519,937.25 : x
  2. Step 2: Convert to fraction form
    971,036.25/1,519,937.25 = 1,519,937.25/x
  3. Step 3: Cross multiply
    971,036.25x = 1,519,937.25 × 1,519,937.25
  4. Step 4: Simplify right side
    971,036.25x = 2,310,209,243,937.56
  5. Step 5: Solve for x
    x = 2,310,209,243,937.56/971,036.25
  6. Step 6: Final answer
    x = 2,379,117.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.