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Finding the Third Proportional to 648,927 and 968,004

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Solution

The third proportional to 648,927 and 968,004 is: 1,443,970.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,927 : 968,004 = 968,004 : x
  2. Step 2: Convert to fraction form
    648,927/968,004 = 968,004/x
  3. Step 3: Cross multiply
    648,927x = 968,004 × 968,004
  4. Step 4: Simplify right side
    648,927x = 937,031,744,016
  5. Step 5: Solve for x
    x = 937,031,744,016/648,927
  6. Step 6: Final answer
    x = 1,443,970.96

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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.