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Finding the Third Proportional to 773,440,664 and 1,226,724,906

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Solution

The third proportional to 773,440,664 and 1,226,724,906 is: 1,945,661,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,440,664 : 1,226,724,906 = 1,226,724,906 : x
  2. Step 2: Convert to fraction form
    773,440,664/1,226,724,906 = 1,226,724,906/x
  3. Step 3: Cross multiply
    773,440,664x = 1,226,724,906 × 1,226,724,906
  4. Step 4: Simplify right side
    773,440,664x = 1,504,853,995,000,708,864
  5. Step 5: Solve for x
    x = 1,504,853,995,000,708,864/773,440,664
  6. Step 6: Final answer
    x = 1,945,661,852.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.