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Finding the Third Proportional to 737,505 and 1,009,314

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Solution

The third proportional to 737,505 and 1,009,314 is: 1,381,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,505 : 1,009,314 = 1,009,314 : x
  2. Step 2: Convert to fraction form
    737,505/1,009,314 = 1,009,314/x
  3. Step 3: Cross multiply
    737,505x = 1,009,314 × 1,009,314
  4. Step 4: Simplify right side
    737,505x = 1,018,714,750,596
  5. Step 5: Solve for x
    x = 1,018,714,750,596/737,505
  6. Step 6: Final answer
    x = 1,381,298.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.