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Finding the Third Proportional to 963,057 and 2,086,607

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Solution

The third proportional to 963,057 and 2,086,607 is: 4,520,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,057 : 2,086,607 = 2,086,607 : x
  2. Step 2: Convert to fraction form
    963,057/2,086,607 = 2,086,607/x
  3. Step 3: Cross multiply
    963,057x = 2,086,607 × 2,086,607
  4. Step 4: Simplify right side
    963,057x = 4,353,928,772,449
  5. Step 5: Solve for x
    x = 4,353,928,772,449/963,057
  6. Step 6: Final answer
    x = 4,520,946.08

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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.