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Finding the Third Proportional to 426,157.88 and 946,901.25

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Solution

The third proportional to 426,157.88 and 946,901.25 is: 2,103,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,157.88 : 946,901.25 = 946,901.25 : x
  2. Step 2: Convert to fraction form
    426,157.88/946,901.25 = 946,901.25/x
  3. Step 3: Cross multiply
    426,157.88x = 946,901.25 × 946,901.25
  4. Step 4: Simplify right side
    426,157.88x = 896,621,977,251.56
  5. Step 5: Solve for x
    x = 896,621,977,251.56/426,157.88
  6. Step 6: Final answer
    x = 2,103,966.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.