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Finding the Third Proportional to 803,773.50 and 1,733,746.50

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Solution

The third proportional to 803,773.50 and 1,733,746.50 is: 3,739,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,773.50 : 1,733,746.50 = 1,733,746.50 : x
  2. Step 2: Convert to fraction form
    803,773.50/1,733,746.50 = 1,733,746.50/x
  3. Step 3: Cross multiply
    803,773.50x = 1,733,746.50 × 1,733,746.50
  4. Step 4: Simplify right side
    803,773.50x = 3,005,876,926,262.25
  5. Step 5: Solve for x
    x = 3,005,876,926,262.25/803,773.50
  6. Step 6: Final answer
    x = 3,739,706.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.