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Finding the Third Proportional to 685,863 and 1,068,043.50

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Solution

The third proportional to 685,863 and 1,068,043.50 is: 1,663,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,863 : 1,068,043.50 = 1,068,043.50 : x
  2. Step 2: Convert to fraction form
    685,863/1,068,043.50 = 1,068,043.50/x
  3. Step 3: Cross multiply
    685,863x = 1,068,043.50 × 1,068,043.50
  4. Step 4: Simplify right side
    685,863x = 1,140,716,917,892.25
  5. Step 5: Solve for x
    x = 1,140,716,917,892.25/685,863
  6. Step 6: Final answer
    x = 1,663,184.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.