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Finding the Third Proportional to 945,984 and 2,014,656

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Solution

The third proportional to 945,984 and 2,014,656 is: 4,290,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,984 : 2,014,656 = 2,014,656 : x
  2. Step 2: Convert to fraction form
    945,984/2,014,656 = 2,014,656/x
  3. Step 3: Cross multiply
    945,984x = 2,014,656 × 2,014,656
  4. Step 4: Simplify right side
    945,984x = 4,058,838,798,336
  5. Step 5: Solve for x
    x = 4,058,838,798,336/945,984
  6. Step 6: Final answer
    x = 4,290,599.84

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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.