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Finding the Third Proportional to 668,709 and 1,303,931

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Solution

The third proportional to 668,709 and 1,303,931 is: 2,542,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,709 : 1,303,931 = 1,303,931 : x
  2. Step 2: Convert to fraction form
    668,709/1,303,931 = 1,303,931/x
  3. Step 3: Cross multiply
    668,709x = 1,303,931 × 1,303,931
  4. Step 4: Simplify right side
    668,709x = 1,700,236,052,761
  5. Step 5: Solve for x
    x = 1,700,236,052,761/668,709
  6. Step 6: Final answer
    x = 2,542,564.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.