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Finding the Third Proportional to 1,379,288.25 and 1,893,386.25

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Solution

The third proportional to 1,379,288.25 and 1,893,386.25 is: 2,599,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379,288.25 : 1,893,386.25 = 1,893,386.25 : x
  2. Step 2: Convert to fraction form
    1,379,288.25/1,893,386.25 = 1,893,386.25/x
  3. Step 3: Cross multiply
    1,379,288.25x = 1,893,386.25 × 1,893,386.25
  4. Step 4: Simplify right side
    1,379,288.25x = 3,584,911,491,689.06
  5. Step 5: Solve for x
    x = 3,584,911,491,689.06/1,379,288.25
  6. Step 6: Final answer
    x = 2,599,102.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.