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Finding the Third Proportional to 651,366 and 1,414,140

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Solution

The third proportional to 651,366 and 1,414,140 is: 3,070,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,366 : 1,414,140 = 1,414,140 : x
  2. Step 2: Convert to fraction form
    651,366/1,414,140 = 1,414,140/x
  3. Step 3: Cross multiply
    651,366x = 1,414,140 × 1,414,140
  4. Step 4: Simplify right side
    651,366x = 1,999,791,939,600
  5. Step 5: Solve for x
    x = 1,999,791,939,600/651,366
  6. Step 6: Final answer
    x = 3,070,150.94

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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.