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Finding the Third Proportional to 968,984 and 1,487,374

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Solution

The third proportional to 968,984 and 1,487,374 is: 2,283,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,984 : 1,487,374 = 1,487,374 : x
  2. Step 2: Convert to fraction form
    968,984/1,487,374 = 1,487,374/x
  3. Step 3: Cross multiply
    968,984x = 1,487,374 × 1,487,374
  4. Step 4: Simplify right side
    968,984x = 2,212,281,415,876
  5. Step 5: Solve for x
    x = 2,212,281,415,876/968,984
  6. Step 6: Final answer
    x = 2,283,093.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.