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Finding the Third Proportional to 953,430 and 1,398,976

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Solution

The third proportional to 953,430 and 1,398,976 is: 2,052,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,430 : 1,398,976 = 1,398,976 : x
  2. Step 2: Convert to fraction form
    953,430/1,398,976 = 1,398,976/x
  3. Step 3: Cross multiply
    953,430x = 1,398,976 × 1,398,976
  4. Step 4: Simplify right side
    953,430x = 1,957,133,848,576
  5. Step 5: Solve for x
    x = 1,957,133,848,576/953,430
  6. Step 6: Final answer
    x = 2,052,729.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.