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Finding the Third Proportional to 1,769,695.50 and 2,732,777.50

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Solution

The third proportional to 1,769,695.50 and 2,732,777.50 is: 4,219,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,695.50 : 2,732,777.50 = 2,732,777.50 : x
  2. Step 2: Convert to fraction form
    1,769,695.50/2,732,777.50 = 2,732,777.50/x
  3. Step 3: Cross multiply
    1,769,695.50x = 2,732,777.50 × 2,732,777.50
  4. Step 4: Simplify right side
    1,769,695.50x = 7,468,072,864,506.25
  5. Step 5: Solve for x
    x = 7,468,072,864,506.25/1,769,695.50
  6. Step 6: Final answer
    x = 4,219,976.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.