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Finding the Third Proportional to 426,239 and 911,583

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Solution

The third proportional to 426,239 and 911,583 is: 1,949,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,239 : 911,583 = 911,583 : x
  2. Step 2: Convert to fraction form
    426,239/911,583 = 911,583/x
  3. Step 3: Cross multiply
    426,239x = 911,583 × 911,583
  4. Step 4: Simplify right side
    426,239x = 830,983,565,889
  5. Step 5: Solve for x
    x = 830,983,565,889/426,239
  6. Step 6: Final answer
    x = 1,949,571.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.