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Finding the Third Proportional to 283,620,405 and 616,934,058

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Solution

The third proportional to 283,620,405 and 616,934,058 is: 1,341,961,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,620,405 : 616,934,058 = 616,934,058 : x
  2. Step 2: Convert to fraction form
    283,620,405/616,934,058 = 616,934,058/x
  3. Step 3: Cross multiply
    283,620,405x = 616,934,058 × 616,934,058
  4. Step 4: Simplify right side
    283,620,405x = 380,607,631,920,347,392
  5. Step 5: Solve for x
    x = 380,607,631,920,347,392/283,620,405
  6. Step 6: Final answer
    x = 1,341,961,386.45

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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.