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Finding the Third Proportional to 526,747 and 1,242,955

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Solution

The third proportional to 526,747 and 1,242,955 is: 2,932,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,747 : 1,242,955 = 1,242,955 : x
  2. Step 2: Convert to fraction form
    526,747/1,242,955 = 1,242,955/x
  3. Step 3: Cross multiply
    526,747x = 1,242,955 × 1,242,955
  4. Step 4: Simplify right side
    526,747x = 1,544,937,132,025
  5. Step 5: Solve for x
    x = 1,544,937,132,025/526,747
  6. Step 6: Final answer
    x = 2,932,977.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.