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Finding the Third Proportional to 417,222 and 915,633

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Solution

The third proportional to 417,222 and 915,633 is: 2,009,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,222 : 915,633 = 915,633 : x
  2. Step 2: Convert to fraction form
    417,222/915,633 = 915,633/x
  3. Step 3: Cross multiply
    417,222x = 915,633 × 915,633
  4. Step 4: Simplify right side
    417,222x = 838,383,790,689
  5. Step 5: Solve for x
    x = 838,383,790,689/417,222
  6. Step 6: Final answer
    x = 2,009,442.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.