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Finding the Third Proportional to 482,516 and 1,019,464

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Solution

The third proportional to 482,516 and 1,019,464 is: 2,153,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,516 : 1,019,464 = 1,019,464 : x
  2. Step 2: Convert to fraction form
    482,516/1,019,464 = 1,019,464/x
  3. Step 3: Cross multiply
    482,516x = 1,019,464 × 1,019,464
  4. Step 4: Simplify right side
    482,516x = 1,039,306,847,296
  5. Step 5: Solve for x
    x = 1,039,306,847,296/482,516
  6. Step 6: Final answer
    x = 2,153,932.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.