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Finding the Third Proportional to 952,240 and 1,475,664

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Solution

The third proportional to 952,240 and 1,475,664 is: 2,286,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,240 : 1,475,664 = 1,475,664 : x
  2. Step 2: Convert to fraction form
    952,240/1,475,664 = 1,475,664/x
  3. Step 3: Cross multiply
    952,240x = 1,475,664 × 1,475,664
  4. Step 4: Simplify right side
    952,240x = 2,177,584,240,896
  5. Step 5: Solve for x
    x = 2,177,584,240,896/952,240
  6. Step 6: Final answer
    x = 2,286,801.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.