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Finding the Third Proportional to 754,944 and 1,649,904

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Solution

The third proportional to 754,944 and 1,649,904 is: 3,605,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,944 : 1,649,904 = 1,649,904 : x
  2. Step 2: Convert to fraction form
    754,944/1,649,904 = 1,649,904/x
  3. Step 3: Cross multiply
    754,944x = 1,649,904 × 1,649,904
  4. Step 4: Simplify right side
    754,944x = 2,722,183,209,216
  5. Step 5: Solve for x
    x = 2,722,183,209,216/754,944
  6. Step 6: Final answer
    x = 3,605,808.13

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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.