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Finding the Third Proportional to 858,297 and 1,864,072.50

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Solution

The third proportional to 858,297 and 1,864,072.50 is: 4,048,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,297 : 1,864,072.50 = 1,864,072.50 : x
  2. Step 2: Convert to fraction form
    858,297/1,864,072.50 = 1,864,072.50/x
  3. Step 3: Cross multiply
    858,297x = 1,864,072.50 × 1,864,072.50
  4. Step 4: Simplify right side
    858,297x = 3,474,766,285,256.25
  5. Step 5: Solve for x
    x = 3,474,766,285,256.25/858,297
  6. Step 6: Final answer
    x = 4,048,442.77

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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.