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Finding the Third Proportional to 759,618 and 1,202,850

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Solution

The third proportional to 759,618 and 1,202,850 is: 1,904,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,618 : 1,202,850 = 1,202,850 : x
  2. Step 2: Convert to fraction form
    759,618/1,202,850 = 1,202,850/x
  3. Step 3: Cross multiply
    759,618x = 1,202,850 × 1,202,850
  4. Step 4: Simplify right side
    759,618x = 1,446,848,122,500
  5. Step 5: Solve for x
    x = 1,446,848,122,500/759,618
  6. Step 6: Final answer
    x = 1,904,704.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.