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Finding the Third Proportional to 856,048.50 and 1,854,758.25

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Solution

The third proportional to 856,048.50 and 1,854,758.25 is: 4,018,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,048.50 : 1,854,758.25 = 1,854,758.25 : x
  2. Step 2: Convert to fraction form
    856,048.50/1,854,758.25 = 1,854,758.25/x
  3. Step 3: Cross multiply
    856,048.50x = 1,854,758.25 × 1,854,758.25
  4. Step 4: Simplify right side
    856,048.50x = 3,440,128,165,943.06
  5. Step 5: Solve for x
    x = 3,440,128,165,943.06/856,048.50
  6. Step 6: Final answer
    x = 4,018,613.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.