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Finding the Third Proportional to 2,171,658.94 and 4,721,532.19

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Solution

The third proportional to 2,171,658.94 and 4,721,532.19 is: 10,265,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,658.94 : 4,721,532.19 = 4,721,532.19 : x
  2. Step 2: Convert to fraction form
    2,171,658.94/4,721,532.19 = 4,721,532.19/x
  3. Step 3: Cross multiply
    2,171,658.94x = 4,721,532.19 × 4,721,532.19
  4. Step 4: Simplify right side
    2,171,658.94x = 22,292,866,197,598.54
  5. Step 5: Solve for x
    x = 22,292,866,197,598.54/2,171,658.94
  6. Step 6: Final answer
    x = 10,265,362.49

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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.