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Finding the Third Proportional to 644,013 and 847,111.50

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Solution

The third proportional to 644,013 and 847,111.50 is: 1,114,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,013 : 847,111.50 = 847,111.50 : x
  2. Step 2: Convert to fraction form
    644,013/847,111.50 = 847,111.50/x
  3. Step 3: Cross multiply
    644,013x = 847,111.50 × 847,111.50
  4. Step 4: Simplify right side
    644,013x = 717,597,893,432.25
  5. Step 5: Solve for x
    x = 717,597,893,432.25/644,013
  6. Step 6: Final answer
    x = 1,114,259.95

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.