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Finding the Third Proportional to 411,168,795 and 897,683,344

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Solution

The third proportional to 411,168,795 and 897,683,344 is: 1,959,865,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,168,795 : 897,683,344 = 897,683,344 : x
  2. Step 2: Convert to fraction form
    411,168,795/897,683,344 = 897,683,344/x
  3. Step 3: Cross multiply
    411,168,795x = 897,683,344 × 897,683,344
  4. Step 4: Simplify right side
    411,168,795x = 805,835,386,095,022,336
  5. Step 5: Solve for x
    x = 805,835,386,095,022,336/411,168,795
  6. Step 6: Final answer
    x = 1,959,865,135.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.