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Finding the Third Proportional to 919,184 and 1,985,944

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Solution

The third proportional to 919,184 and 1,985,944 is: 4,290,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,184 : 1,985,944 = 1,985,944 : x
  2. Step 2: Convert to fraction form
    919,184/1,985,944 = 1,985,944/x
  3. Step 3: Cross multiply
    919,184x = 1,985,944 × 1,985,944
  4. Step 4: Simplify right side
    919,184x = 3,943,973,571,136
  5. Step 5: Solve for x
    x = 3,943,973,571,136/919,184
  6. Step 6: Final answer
    x = 4,290,733.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.