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Finding the Third Proportional to 970,774.88 and 1,519,541.44

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Solution

The third proportional to 970,774.88 and 1,519,541.44 is: 2,378,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,774.88 : 1,519,541.44 = 1,519,541.44 : x
  2. Step 2: Convert to fraction form
    970,774.88/1,519,541.44 = 1,519,541.44/x
  3. Step 3: Cross multiply
    970,774.88x = 1,519,541.44 × 1,519,541.44
  4. Step 4: Simplify right side
    970,774.88x = 2,309,006,180,279.57
  5. Step 5: Solve for x
    x = 2,309,006,180,279.57/970,774.88
  6. Step 6: Final answer
    x = 2,378,518.69

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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.