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Finding the Third Proportional to 651,344.50 and 1,414,095.50

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Solution

The third proportional to 651,344.50 and 1,414,095.50 is: 3,070,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,344.50 : 1,414,095.50 = 1,414,095.50 : x
  2. Step 2: Convert to fraction form
    651,344.50/1,414,095.50 = 1,414,095.50/x
  3. Step 3: Cross multiply
    651,344.50x = 1,414,095.50 × 1,414,095.50
  4. Step 4: Simplify right side
    651,344.50x = 1,999,666,083,120.25
  5. Step 5: Solve for x
    x = 1,999,666,083,120.25/651,344.50
  6. Step 6: Final answer
    x = 3,070,059.06

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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.