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Finding the Third Proportional to 946,480 and 1,415,976

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Solution

The third proportional to 946,480 and 1,415,976 is: 2,118,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,480 : 1,415,976 = 1,415,976 : x
  2. Step 2: Convert to fraction form
    946,480/1,415,976 = 1,415,976/x
  3. Step 3: Cross multiply
    946,480x = 1,415,976 × 1,415,976
  4. Step 4: Simplify right side
    946,480x = 2,004,988,032,576
  5. Step 5: Solve for x
    x = 2,004,988,032,576/946,480
  6. Step 6: Final answer
    x = 2,118,362.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.