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Finding the Third Proportional to 301,436,210 and 652,961,788

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Solution

The third proportional to 301,436,210 and 652,961,788 is: 1,414,425,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,436,210 : 652,961,788 = 652,961,788 : x
  2. Step 2: Convert to fraction form
    301,436,210/652,961,788 = 652,961,788/x
  3. Step 3: Cross multiply
    301,436,210x = 652,961,788 × 652,961,788
  4. Step 4: Simplify right side
    301,436,210x = 426,359,096,588,156,928
  5. Step 5: Solve for x
    x = 426,359,096,588,156,928/301,436,210
  6. Step 6: Final answer
    x = 1,414,425,614.59

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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.