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Finding the Third Proportional to 735,958 and 1,559,317

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Solution

The third proportional to 735,958 and 1,559,317 is: 3,303,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,958 : 1,559,317 = 1,559,317 : x
  2. Step 2: Convert to fraction form
    735,958/1,559,317 = 1,559,317/x
  3. Step 3: Cross multiply
    735,958x = 1,559,317 × 1,559,317
  4. Step 4: Simplify right side
    735,958x = 2,431,469,506,489
  5. Step 5: Solve for x
    x = 2,431,469,506,489/735,958
  6. Step 6: Final answer
    x = 3,303,815.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.