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Finding the Third Proportional to 595,110 and 893,964

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Solution

The third proportional to 595,110 and 893,964 is: 1,342,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,110 : 893,964 = 893,964 : x
  2. Step 2: Convert to fraction form
    595,110/893,964 = 893,964/x
  3. Step 3: Cross multiply
    595,110x = 893,964 × 893,964
  4. Step 4: Simplify right side
    595,110x = 799,171,633,296
  5. Step 5: Solve for x
    x = 799,171,633,296/595,110
  6. Step 6: Final answer
    x = 1,342,897.34

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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.