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Finding the Third Proportional to 864,984 and 1,377,420

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Solution

The third proportional to 864,984 and 1,377,420 is: 2,193,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,984 : 1,377,420 = 1,377,420 : x
  2. Step 2: Convert to fraction form
    864,984/1,377,420 = 1,377,420/x
  3. Step 3: Cross multiply
    864,984x = 1,377,420 × 1,377,420
  4. Step 4: Simplify right side
    864,984x = 1,897,285,856,400
  5. Step 5: Solve for x
    x = 1,897,285,856,400/864,984
  6. Step 6: Final answer
    x = 2,193,434.63

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