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Finding the Third Proportional to 459,769 and 1,002,301

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Solution

The third proportional to 459,769 and 1,002,301 is: 2,185,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,769 : 1,002,301 = 1,002,301 : x
  2. Step 2: Convert to fraction form
    459,769/1,002,301 = 1,002,301/x
  3. Step 3: Cross multiply
    459,769x = 1,002,301 × 1,002,301
  4. Step 4: Simplify right side
    459,769x = 1,004,607,294,601
  5. Step 5: Solve for x
    x = 1,004,607,294,601/459,769
  6. Step 6: Final answer
    x = 2,185,026.16

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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.