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Finding the Third Proportional to 651,102 and 1,008,041

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Solution

The third proportional to 651,102 and 1,008,041 is: 1,560,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,102 : 1,008,041 = 1,008,041 : x
  2. Step 2: Convert to fraction form
    651,102/1,008,041 = 1,008,041/x
  3. Step 3: Cross multiply
    651,102x = 1,008,041 × 1,008,041
  4. Step 4: Simplify right side
    651,102x = 1,016,146,657,681
  5. Step 5: Solve for x
    x = 1,016,146,657,681/651,102
  6. Step 6: Final answer
    x = 1,560,656.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.