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Finding the Third Proportional to 252,528,154 and 590,019,921

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Solution

The third proportional to 252,528,154 and 590,019,921 is: 1,378,553,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,528,154 : 590,019,921 = 590,019,921 : x
  2. Step 2: Convert to fraction form
    252,528,154/590,019,921 = 590,019,921/x
  3. Step 3: Cross multiply
    252,528,154x = 590,019,921 × 590,019,921
  4. Step 4: Simplify right side
    252,528,154x = 348,123,507,176,846,272
  5. Step 5: Solve for x
    x = 348,123,507,176,846,272/252,528,154
  6. Step 6: Final answer
    x = 1,378,553,249.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.