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Finding the Third Proportional to 409,907,946 and 885,132,828

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Solution

The third proportional to 409,907,946 and 885,132,828 is: 1,911,307,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,907,946 : 885,132,828 = 885,132,828 : x
  2. Step 2: Convert to fraction form
    409,907,946/885,132,828 = 885,132,828/x
  3. Step 3: Cross multiply
    409,907,946x = 885,132,828 × 885,132,828
  4. Step 4: Simplify right side
    409,907,946x = 783,460,123,203,277,568
  5. Step 5: Solve for x
    x = 783,460,123,203,277,568/409,907,946
  6. Step 6: Final answer
    x = 1,911,307,479.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.