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Finding the Third Proportional to 648,932 and 968,010

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Solution

The third proportional to 648,932 and 968,010 is: 1,443,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,932 : 968,010 = 968,010 : x
  2. Step 2: Convert to fraction form
    648,932/968,010 = 968,010/x
  3. Step 3: Cross multiply
    648,932x = 968,010 × 968,010
  4. Step 4: Simplify right side
    648,932x = 937,043,360,100
  5. Step 5: Solve for x
    x = 937,043,360,100/648,932
  6. Step 6: Final answer
    x = 1,443,977.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.