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Finding the Third Proportional to 411,168,810 and 897,683,374

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Solution

The third proportional to 411,168,810 and 897,683,374 is: 1,959,865,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,168,810 : 897,683,374 = 897,683,374 : x
  2. Step 2: Convert to fraction form
    411,168,810/897,683,374 = 897,683,374/x
  3. Step 3: Cross multiply
    411,168,810x = 897,683,374 × 897,683,374
  4. Step 4: Simplify right side
    411,168,810x = 805,835,439,956,023,936
  5. Step 5: Solve for x
    x = 805,835,439,956,023,936/411,168,810
  6. Step 6: Final answer
    x = 1,959,865,194.92

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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.