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Finding the Third Proportional to 684,708 and 1,001,704

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Solution

The third proportional to 684,708 and 1,001,704 is: 1,465,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,708 : 1,001,704 = 1,001,704 : x
  2. Step 2: Convert to fraction form
    684,708/1,001,704 = 1,001,704/x
  3. Step 3: Cross multiply
    684,708x = 1,001,704 × 1,001,704
  4. Step 4: Simplify right side
    684,708x = 1,003,410,903,616
  5. Step 5: Solve for x
    x = 1,003,410,903,616/684,708
  6. Step 6: Final answer
    x = 1,465,458.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.