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Finding the Third Proportional to 963,624 and 2,003,710

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Solution

The third proportional to 963,624 and 2,003,710 is: 4,166,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,624 : 2,003,710 = 2,003,710 : x
  2. Step 2: Convert to fraction form
    963,624/2,003,710 = 2,003,710/x
  3. Step 3: Cross multiply
    963,624x = 2,003,710 × 2,003,710
  4. Step 4: Simplify right side
    963,624x = 4,014,853,764,100
  5. Step 5: Solve for x
    x = 4,014,853,764,100/963,624
  6. Step 6: Final answer
    x = 4,166,411.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.