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Finding the Third Proportional to 466,024 and 1,019,270

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Solution

The third proportional to 466,024 and 1,019,270 is: 2,229,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,024 : 1,019,270 = 1,019,270 : x
  2. Step 2: Convert to fraction form
    466,024/1,019,270 = 1,019,270/x
  3. Step 3: Cross multiply
    466,024x = 1,019,270 × 1,019,270
  4. Step 4: Simplify right side
    466,024x = 1,038,911,332,900
  5. Step 5: Solve for x
    x = 1,038,911,332,900/466,024
  6. Step 6: Final answer
    x = 2,229,308.65

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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.