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Finding the Third Proportional to 463,319 and 1,015,211

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Solution

The third proportional to 463,319 and 1,015,211 is: 2,224,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,319 : 1,015,211 = 1,015,211 : x
  2. Step 2: Convert to fraction form
    463,319/1,015,211 = 1,015,211/x
  3. Step 3: Cross multiply
    463,319x = 1,015,211 × 1,015,211
  4. Step 4: Simplify right side
    463,319x = 1,030,653,374,521
  5. Step 5: Solve for x
    x = 1,030,653,374,521/463,319
  6. Step 6: Final answer
    x = 2,224,500.56

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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.