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Finding the Third Proportional to 420,934,453 and 918,361,417

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Solution

The third proportional to 420,934,453 and 918,361,417 is: 2,003,608,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,934,453 : 918,361,417 = 918,361,417 : x
  2. Step 2: Convert to fraction form
    420,934,453/918,361,417 = 918,361,417/x
  3. Step 3: Cross multiply
    420,934,453x = 918,361,417 × 918,361,417
  4. Step 4: Simplify right side
    420,934,453x = 843,387,692,234,247,936
  5. Step 5: Solve for x
    x = 843,387,692,234,247,936/420,934,453
  6. Step 6: Final answer
    x = 2,003,608,130.02

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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.