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Finding the Third Proportional to 594,939 and 893,716

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Solution

The third proportional to 594,939 and 893,716 is: 1,342,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,939 : 893,716 = 893,716 : x
  2. Step 2: Convert to fraction form
    594,939/893,716 = 893,716/x
  3. Step 3: Cross multiply
    594,939x = 893,716 × 893,716
  4. Step 4: Simplify right side
    594,939x = 798,728,288,656
  5. Step 5: Solve for x
    x = 798,728,288,656/594,939
  6. Step 6: Final answer
    x = 1,342,538.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.