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Finding the Third Proportional to 708,188.06 and 1,068,200.16

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Solution

The third proportional to 708,188.06 and 1,068,200.16 is: 1,611,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,188.06 : 1,068,200.16 = 1,068,200.16 : x
  2. Step 2: Convert to fraction form
    708,188.06/1,068,200.16 = 1,068,200.16/x
  3. Step 3: Cross multiply
    708,188.06x = 1,068,200.16 × 1,068,200.16
  4. Step 4: Simplify right side
    708,188.06x = 1,141,051,573,812.52
  5. Step 5: Solve for x
    x = 1,141,051,573,812.52/708,188.06
  6. Step 6: Final answer
    x = 1,611,226.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.