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Finding the Third Proportional to 1,189,737 and 2,459,502

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Solution

The third proportional to 1,189,737 and 2,459,502 is: 5,084,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,737 : 2,459,502 = 2,459,502 : x
  2. Step 2: Convert to fraction form
    1,189,737/2,459,502 = 2,459,502/x
  3. Step 3: Cross multiply
    1,189,737x = 2,459,502 × 2,459,502
  4. Step 4: Simplify right side
    1,189,737x = 6,049,150,088,004
  5. Step 5: Solve for x
    x = 6,049,150,088,004/1,189,737
  6. Step 6: Final answer
    x = 5,084,443.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.