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Finding the Third Proportional to 459,570 and 1,004,484

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Solution

The third proportional to 459,570 and 1,004,484 is: 2,195,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,570 : 1,004,484 = 1,004,484 : x
  2. Step 2: Convert to fraction form
    459,570/1,004,484 = 1,004,484/x
  3. Step 3: Cross multiply
    459,570x = 1,004,484 × 1,004,484
  4. Step 4: Simplify right side
    459,570x = 1,008,988,106,256
  5. Step 5: Solve for x
    x = 1,008,988,106,256/459,570
  6. Step 6: Final answer
    x = 2,195,504.72

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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.