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Finding the Third Proportional to 496,071 and 786,537

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Solution

The third proportional to 496,071 and 786,537 is: 1,247,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,071 : 786,537 = 786,537 : x
  2. Step 2: Convert to fraction form
    496,071/786,537 = 786,537/x
  3. Step 3: Cross multiply
    496,071x = 786,537 × 786,537
  4. Step 4: Simplify right side
    496,071x = 618,640,452,369
  5. Step 5: Solve for x
    x = 618,640,452,369/496,071
  6. Step 6: Final answer
    x = 1,247,080.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.