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Finding the Third Proportional to 737,052 and 1,607,511

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Solution

The third proportional to 737,052 and 1,607,511 is: 3,505,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,052 : 1,607,511 = 1,607,511 : x
  2. Step 2: Convert to fraction form
    737,052/1,607,511 = 1,607,511/x
  3. Step 3: Cross multiply
    737,052x = 1,607,511 × 1,607,511
  4. Step 4: Simplify right side
    737,052x = 2,584,091,615,121
  5. Step 5: Solve for x
    x = 2,584,091,615,121/737,052
  6. Step 6: Final answer
    x = 3,505,982.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.