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Finding the Third Proportional to 416,714,760 and 613,026,060

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Solution

The third proportional to 416,714,760 and 613,026,060 is: 901,818,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,714,760 : 613,026,060 = 613,026,060 : x
  2. Step 2: Convert to fraction form
    416,714,760/613,026,060 = 613,026,060/x
  3. Step 3: Cross multiply
    416,714,760x = 613,026,060 × 613,026,060
  4. Step 4: Simplify right side
    416,714,760x = 375,800,950,239,123,584
  5. Step 5: Solve for x
    x = 375,800,950,239,123,584/416,714,760
  6. Step 6: Final answer
    x = 901,818,189.11

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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.