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Finding the Third Proportional to 426,102,144 and 916,921,974

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Solution

The third proportional to 426,102,144 and 916,921,974 is: 1,973,108,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,102,144 : 916,921,974 = 916,921,974 : x
  2. Step 2: Convert to fraction form
    426,102,144/916,921,974 = 916,921,974/x
  3. Step 3: Cross multiply
    426,102,144x = 916,921,974 × 916,921,974
  4. Step 4: Simplify right side
    426,102,144x = 840,745,906,404,056,704
  5. Step 5: Solve for x
    x = 840,745,906,404,056,704/426,102,144
  6. Step 6: Final answer
    x = 1,973,108,838.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.