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Finding the Third Proportional to 759,942 and 1,185,921

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Solution

The third proportional to 759,942 and 1,185,921 is: 1,850,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,942 : 1,185,921 = 1,185,921 : x
  2. Step 2: Convert to fraction form
    759,942/1,185,921 = 1,185,921/x
  3. Step 3: Cross multiply
    759,942x = 1,185,921 × 1,185,921
  4. Step 4: Simplify right side
    759,942x = 1,406,408,618,241
  5. Step 5: Solve for x
    x = 1,406,408,618,241/759,942
  6. Step 6: Final answer
    x = 1,850,678.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.