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Finding the Third Proportional to 651,288 and 983,738

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Solution

The third proportional to 651,288 and 983,738 is: 1,485,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,288 : 983,738 = 983,738 : x
  2. Step 2: Convert to fraction form
    651,288/983,738 = 983,738/x
  3. Step 3: Cross multiply
    651,288x = 983,738 × 983,738
  4. Step 4: Simplify right side
    651,288x = 967,740,452,644
  5. Step 5: Solve for x
    x = 967,740,452,644/651,288
  6. Step 6: Final answer
    x = 1,485,887.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.