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Finding the Third Proportional to 594,932 and 1,307,962

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Solution

The third proportional to 594,932 and 1,307,962 is: 2,875,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,932 : 1,307,962 = 1,307,962 : x
  2. Step 2: Convert to fraction form
    594,932/1,307,962 = 1,307,962/x
  3. Step 3: Cross multiply
    594,932x = 1,307,962 × 1,307,962
  4. Step 4: Simplify right side
    594,932x = 1,710,764,593,444
  5. Step 5: Solve for x
    x = 1,710,764,593,444/594,932
  6. Step 6: Final answer
    x = 2,875,563.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.