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Finding the Third Proportional to 581,722 and 893,846

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Solution

The third proportional to 581,722 and 893,846 is: 1,373,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,722 : 893,846 = 893,846 : x
  2. Step 2: Convert to fraction form
    581,722/893,846 = 893,846/x
  3. Step 3: Cross multiply
    581,722x = 893,846 × 893,846
  4. Step 4: Simplify right side
    581,722x = 798,960,671,716
  5. Step 5: Solve for x
    x = 798,960,671,716/581,722
  6. Step 6: Final answer
    x = 1,373,440.70

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Why These Related Problems?

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