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Finding the Third Proportional to 294,448,769 and 619,357,930

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Solution

The third proportional to 294,448,769 and 619,357,930 is: 1,302,787,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,448,769 : 619,357,930 = 619,357,930 : x
  2. Step 2: Convert to fraction form
    294,448,769/619,357,930 = 619,357,930/x
  3. Step 3: Cross multiply
    294,448,769x = 619,357,930 × 619,357,930
  4. Step 4: Simplify right side
    294,448,769x = 383,604,245,453,884,928
  5. Step 5: Solve for x
    x = 383,604,245,453,884,928/294,448,769
  6. Step 6: Final answer
    x = 1,302,787,737.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.