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Finding the Third Proportional to 925,698 and 1,400,157

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Solution

The third proportional to 925,698 and 1,400,157 is: 2,117,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,698 : 1,400,157 = 1,400,157 : x
  2. Step 2: Convert to fraction form
    925,698/1,400,157 = 1,400,157/x
  3. Step 3: Cross multiply
    925,698x = 1,400,157 × 1,400,157
  4. Step 4: Simplify right side
    925,698x = 1,960,439,624,649
  5. Step 5: Solve for x
    x = 1,960,439,624,649/925,698
  6. Step 6: Final answer
    x = 2,117,796.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.