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Finding the Third Proportional to 460,088 and 1,001,172

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Solution

The third proportional to 460,088 and 1,001,172 is: 2,178,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,088 : 1,001,172 = 1,001,172 : x
  2. Step 2: Convert to fraction form
    460,088/1,001,172 = 1,001,172/x
  3. Step 3: Cross multiply
    460,088x = 1,001,172 × 1,001,172
  4. Step 4: Simplify right side
    460,088x = 1,002,345,373,584
  5. Step 5: Solve for x
    x = 1,002,345,373,584/460,088
  6. Step 6: Final answer
    x = 2,178,594.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.