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Finding the Third Proportional to 586,440 and 864,108

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Solution

The third proportional to 586,440 and 864,108 is: 1,273,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,440 : 864,108 = 864,108 : x
  2. Step 2: Convert to fraction form
    586,440/864,108 = 864,108/x
  3. Step 3: Cross multiply
    586,440x = 864,108 × 864,108
  4. Step 4: Simplify right side
    586,440x = 746,682,635,664
  5. Step 5: Solve for x
    x = 746,682,635,664/586,440
  6. Step 6: Final answer
    x = 1,273,246.43

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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.