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Finding the Third Proportional to 459,324 and 1,013,904

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Solution

The third proportional to 459,324 and 1,013,904 is: 2,238,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,324 : 1,013,904 = 1,013,904 : x
  2. Step 2: Convert to fraction form
    459,324/1,013,904 = 1,013,904/x
  3. Step 3: Cross multiply
    459,324x = 1,013,904 × 1,013,904
  4. Step 4: Simplify right side
    459,324x = 1,028,001,321,216
  5. Step 5: Solve for x
    x = 1,028,001,321,216/459,324
  6. Step 6: Final answer
    x = 2,238,074.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.