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Finding the Third Proportional to 613,019 and 841,508

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Solution

The third proportional to 613,019 and 841,508 is: 1,155,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,019 : 841,508 = 841,508 : x
  2. Step 2: Convert to fraction form
    613,019/841,508 = 841,508/x
  3. Step 3: Cross multiply
    613,019x = 841,508 × 841,508
  4. Step 4: Simplify right side
    613,019x = 708,135,714,064
  5. Step 5: Solve for x
    x = 708,135,714,064/613,019
  6. Step 6: Final answer
    x = 1,155,161.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.