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Finding the Third Proportional to 762,697 and 1,671,923

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Solution

The third proportional to 762,697 and 1,671,923 is: 3,665,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,697 : 1,671,923 = 1,671,923 : x
  2. Step 2: Convert to fraction form
    762,697/1,671,923 = 1,671,923/x
  3. Step 3: Cross multiply
    762,697x = 1,671,923 × 1,671,923
  4. Step 4: Simplify right side
    762,697x = 2,795,326,517,929
  5. Step 5: Solve for x
    x = 2,795,326,517,929/762,697
  6. Step 6: Final answer
    x = 3,665,055.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.