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Finding the Third Proportional to 619,314 and 1,360,417

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Solution

The third proportional to 619,314 and 1,360,417 is: 2,988,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,314 : 1,360,417 = 1,360,417 : x
  2. Step 2: Convert to fraction form
    619,314/1,360,417 = 1,360,417/x
  3. Step 3: Cross multiply
    619,314x = 1,360,417 × 1,360,417
  4. Step 4: Simplify right side
    619,314x = 1,850,734,413,889
  5. Step 5: Solve for x
    x = 1,850,734,413,889/619,314
  6. Step 6: Final answer
    x = 2,988,361.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.