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Finding the Third Proportional to 930,460 and 2,015,498

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Solution

The third proportional to 930,460 and 2,015,498 is: 4,365,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,460 : 2,015,498 = 2,015,498 : x
  2. Step 2: Convert to fraction form
    930,460/2,015,498 = 2,015,498/x
  3. Step 3: Cross multiply
    930,460x = 2,015,498 × 2,015,498
  4. Step 4: Simplify right side
    930,460x = 4,062,232,188,004
  5. Step 5: Solve for x
    x = 4,062,232,188,004/930,460
  6. Step 6: Final answer
    x = 4,365,832.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.