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Finding the Third Proportional to 691,038 and 1,066,077

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Solution

The third proportional to 691,038 and 1,066,077 is: 1,644,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,038 : 1,066,077 = 1,066,077 : x
  2. Step 2: Convert to fraction form
    691,038/1,066,077 = 1,066,077/x
  3. Step 3: Cross multiply
    691,038x = 1,066,077 × 1,066,077
  4. Step 4: Simplify right side
    691,038x = 1,136,520,169,929
  5. Step 5: Solve for x
    x = 1,136,520,169,929/691,038
  6. Step 6: Final answer
    x = 1,644,656.55

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