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Finding the Third Proportional to 839,106 and 1,258,371

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Solution

The third proportional to 839,106 and 1,258,371 is: 1,887,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,106 : 1,258,371 = 1,258,371 : x
  2. Step 2: Convert to fraction form
    839,106/1,258,371 = 1,258,371/x
  3. Step 3: Cross multiply
    839,106x = 1,258,371 × 1,258,371
  4. Step 4: Simplify right side
    839,106x = 1,583,497,573,641
  5. Step 5: Solve for x
    x = 1,583,497,573,641/839,106
  6. Step 6: Final answer
    x = 1,887,124.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.