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Finding the Third Proportional to 670,481 and 1,427,383

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Solution

The third proportional to 670,481 and 1,427,383 is: 3,038,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,481 : 1,427,383 = 1,427,383 : x
  2. Step 2: Convert to fraction form
    670,481/1,427,383 = 1,427,383/x
  3. Step 3: Cross multiply
    670,481x = 1,427,383 × 1,427,383
  4. Step 4: Simplify right side
    670,481x = 2,037,422,228,689
  5. Step 5: Solve for x
    x = 2,037,422,228,689/670,481
  6. Step 6: Final answer
    x = 3,038,747.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.