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Finding the Third Proportional to 656,852 and 989,976

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Solution

The third proportional to 656,852 and 989,976 is: 1,492,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,852 : 989,976 = 989,976 : x
  2. Step 2: Convert to fraction form
    656,852/989,976 = 989,976/x
  3. Step 3: Cross multiply
    656,852x = 989,976 × 989,976
  4. Step 4: Simplify right side
    656,852x = 980,052,480,576
  5. Step 5: Solve for x
    x = 980,052,480,576/656,852
  6. Step 6: Final answer
    x = 1,492,044.60

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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.