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Finding the Third Proportional to 691,392 and 1,066,590

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Solution

The third proportional to 691,392 and 1,066,590 is: 1,645,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,392 : 1,066,590 = 1,066,590 : x
  2. Step 2: Convert to fraction form
    691,392/1,066,590 = 1,066,590/x
  3. Step 3: Cross multiply
    691,392x = 1,066,590 × 1,066,590
  4. Step 4: Simplify right side
    691,392x = 1,137,614,228,100
  5. Step 5: Solve for x
    x = 1,137,614,228,100/691,392
  6. Step 6: Final answer
    x = 1,645,396.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.