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Finding the Third Proportional to 411,092,123 and 605,283,280

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Solution

The third proportional to 411,092,123 and 605,283,280 is: 891,206,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,092,123 : 605,283,280 = 605,283,280 : x
  2. Step 2: Convert to fraction form
    411,092,123/605,283,280 = 605,283,280/x
  3. Step 3: Cross multiply
    411,092,123x = 605,283,280 × 605,283,280
  4. Step 4: Simplify right side
    411,092,123x = 366,367,849,047,558,400
  5. Step 5: Solve for x
    x = 366,367,849,047,558,400/411,092,123
  6. Step 6: Final answer
    x = 891,206,200.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.