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Finding the Third Proportional to 788,864 and 1,727,890.50

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Solution

The third proportional to 788,864 and 1,727,890.50 is: 3,784,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,864 : 1,727,890.50 = 1,727,890.50 : x
  2. Step 2: Convert to fraction form
    788,864/1,727,890.50 = 1,727,890.50/x
  3. Step 3: Cross multiply
    788,864x = 1,727,890.50 × 1,727,890.50
  4. Step 4: Simplify right side
    788,864x = 2,985,605,579,990.25
  5. Step 5: Solve for x
    x = 2,985,605,579,990.25/788,864
  6. Step 6: Final answer
    x = 3,784,689.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.