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Finding the Third Proportional to 524,250,855 and 873,646,665

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Solution

The third proportional to 524,250,855 and 873,646,665 is: 1,455,903,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,250,855 : 873,646,665 = 873,646,665 : x
  2. Step 2: Convert to fraction form
    524,250,855/873,646,665 = 873,646,665/x
  3. Step 3: Cross multiply
    524,250,855x = 873,646,665 × 873,646,665
  4. Step 4: Simplify right side
    524,250,855x = 763,258,495,265,622,272
  5. Step 5: Solve for x
    x = 763,258,495,265,622,272/524,250,855
  6. Step 6: Final answer
    x = 1,455,903,195.93

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.