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Finding the Third Proportional to 408,046,323 and 885,370,965

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Solution

The third proportional to 408,046,323 and 885,370,965 is: 1,921,060,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,323 : 885,370,965 = 885,370,965 : x
  2. Step 2: Convert to fraction form
    408,046,323/885,370,965 = 885,370,965/x
  3. Step 3: Cross multiply
    408,046,323x = 885,370,965 × 885,370,965
  4. Step 4: Simplify right side
    408,046,323x = 783,881,745,665,031,168
  5. Step 5: Solve for x
    x = 783,881,745,665,031,168/408,046,323
  6. Step 6: Final answer
    x = 1,921,060,677.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.