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Finding the Third Proportional to 906,127 and 1,439,543

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Solution

The third proportional to 906,127 and 1,439,543 is: 2,286,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,127 : 1,439,543 = 1,439,543 : x
  2. Step 2: Convert to fraction form
    906,127/1,439,543 = 1,439,543/x
  3. Step 3: Cross multiply
    906,127x = 1,439,543 × 1,439,543
  4. Step 4: Simplify right side
    906,127x = 2,072,284,048,849
  5. Step 5: Solve for x
    x = 2,072,284,048,849/906,127
  6. Step 6: Final answer
    x = 2,286,968.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.