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Finding the Third Proportional to 771,022.50 and 1,670,752.50

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Solution

The third proportional to 771,022.50 and 1,670,752.50 is: 3,620,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,022.50 : 1,670,752.50 = 1,670,752.50 : x
  2. Step 2: Convert to fraction form
    771,022.50/1,670,752.50 = 1,670,752.50/x
  3. Step 3: Cross multiply
    771,022.50x = 1,670,752.50 × 1,670,752.50
  4. Step 4: Simplify right side
    771,022.50x = 2,791,413,916,256.25
  5. Step 5: Solve for x
    x = 2,791,413,916,256.25/771,022.50
  6. Step 6: Final answer
    x = 3,620,405.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.