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Finding the Third Proportional to 668,599 and 1,410,998

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Solution

The third proportional to 668,599 and 1,410,998 is: 2,977,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,599 : 1,410,998 = 1,410,998 : x
  2. Step 2: Convert to fraction form
    668,599/1,410,998 = 1,410,998/x
  3. Step 3: Cross multiply
    668,599x = 1,410,998 × 1,410,998
  4. Step 4: Simplify right side
    668,599x = 1,990,915,356,004
  5. Step 5: Solve for x
    x = 1,990,915,356,004/668,599
  6. Step 6: Final answer
    x = 2,977,742.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.