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Finding the Third Proportional to 404,530,671 and 605,688,840

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Solution

The third proportional to 404,530,671 and 605,688,840 is: 906,875,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,530,671 : 605,688,840 = 605,688,840 : x
  2. Step 2: Convert to fraction form
    404,530,671/605,688,840 = 605,688,840/x
  3. Step 3: Cross multiply
    404,530,671x = 605,688,840 × 605,688,840
  4. Step 4: Simplify right side
    404,530,671x = 366,858,970,900,545,600
  5. Step 5: Solve for x
    x = 366,858,970,900,545,600/404,530,671
  6. Step 6: Final answer
    x = 906,875,540.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.