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Finding the Third Proportional to 430,964,644 and 922,436,936

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Solution

The third proportional to 430,964,644 and 922,436,936 is: 1,974,384,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,964,644 : 922,436,936 = 922,436,936 : x
  2. Step 2: Convert to fraction form
    430,964,644/922,436,936 = 922,436,936/x
  3. Step 3: Cross multiply
    430,964,644x = 922,436,936 × 922,436,936
  4. Step 4: Simplify right side
    430,964,644x = 850,889,900,897,068,032
  5. Step 5: Solve for x
    x = 850,889,900,897,068,032/430,964,644
  6. Step 6: Final answer
    x = 1,974,384,471.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.