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Finding the Third Proportional to 1,349,647.50 and 2,851,008

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Solution

The third proportional to 1,349,647.50 and 2,851,008 is: 6,022,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,647.50 : 2,851,008 = 2,851,008 : x
  2. Step 2: Convert to fraction form
    1,349,647.50/2,851,008 = 2,851,008/x
  3. Step 3: Cross multiply
    1,349,647.50x = 2,851,008 × 2,851,008
  4. Step 4: Simplify right side
    1,349,647.50x = 8,128,246,616,064
  5. Step 5: Solve for x
    x = 8,128,246,616,064/1,349,647.50
  6. Step 6: Final answer
    x = 6,022,495.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.