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Finding the Third Proportional to 561,984 and 1,202,976

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Solution

The third proportional to 561,984 and 1,202,976 is: 2,575,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,984 : 1,202,976 = 1,202,976 : x
  2. Step 2: Convert to fraction form
    561,984/1,202,976 = 1,202,976/x
  3. Step 3: Cross multiply
    561,984x = 1,202,976 × 1,202,976
  4. Step 4: Simplify right side
    561,984x = 1,447,151,256,576
  5. Step 5: Solve for x
    x = 1,447,151,256,576/561,984
  6. Step 6: Final answer
    x = 2,575,075.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.