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Finding the Third Proportional to 919,186 and 1,985,948

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Solution

The third proportional to 919,186 and 1,985,948 is: 4,290,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,186 : 1,985,948 = 1,985,948 : x
  2. Step 2: Convert to fraction form
    919,186/1,985,948 = 1,985,948/x
  3. Step 3: Cross multiply
    919,186x = 1,985,948 × 1,985,948
  4. Step 4: Simplify right side
    919,186x = 3,943,989,458,704
  5. Step 5: Solve for x
    x = 3,943,989,458,704/919,186
  6. Step 6: Final answer
    x = 4,290,741.44

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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.