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Finding the Third Proportional to 1,577,923 and 2,232,748

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Solution

The third proportional to 1,577,923 and 2,232,748 is: 3,159,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,923 : 2,232,748 = 2,232,748 : x
  2. Step 2: Convert to fraction form
    1,577,923/2,232,748 = 2,232,748/x
  3. Step 3: Cross multiply
    1,577,923x = 2,232,748 × 2,232,748
  4. Step 4: Simplify right side
    1,577,923x = 4,985,163,631,504
  5. Step 5: Solve for x
    x = 4,985,163,631,504/1,577,923
  6. Step 6: Final answer
    x = 3,159,319.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.