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Finding the Third Proportional to 651,352.50 and 1,414,111.50

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Solution

The third proportional to 651,352.50 and 1,414,111.50 is: 3,070,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,352.50 : 1,414,111.50 = 1,414,111.50 : x
  2. Step 2: Convert to fraction form
    651,352.50/1,414,111.50 = 1,414,111.50/x
  3. Step 3: Cross multiply
    651,352.50x = 1,414,111.50 × 1,414,111.50
  4. Step 4: Simplify right side
    651,352.50x = 1,999,711,334,432.25
  5. Step 5: Solve for x
    x = 1,999,711,334,432.25/651,352.50
  6. Step 6: Final answer
    x = 3,070,090.83

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