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Finding the Third Proportional to 947,700 and 2,237,197.50

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Solution

The third proportional to 947,700 and 2,237,197.50 is: 5,281,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,700 : 2,237,197.50 = 2,237,197.50 : x
  2. Step 2: Convert to fraction form
    947,700/2,237,197.50 = 2,237,197.50/x
  3. Step 3: Cross multiply
    947,700x = 2,237,197.50 × 2,237,197.50
  4. Step 4: Simplify right side
    947,700x = 5,005,052,654,006.25
  5. Step 5: Solve for x
    x = 5,005,052,654,006.25/947,700
  6. Step 6: Final answer
    x = 5,281,262.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.