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Finding the Third Proportional to 1,901,640 and 4,176,480

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Solution

The third proportional to 1,901,640 and 4,176,480 is: 9,172,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,640 : 4,176,480 = 4,176,480 : x
  2. Step 2: Convert to fraction form
    1,901,640/4,176,480 = 4,176,480/x
  3. Step 3: Cross multiply
    1,901,640x = 4,176,480 × 4,176,480
  4. Step 4: Simplify right side
    1,901,640x = 17,442,985,190,400
  5. Step 5: Solve for x
    x = 17,442,985,190,400/1,901,640
  6. Step 6: Final answer
    x = 9,172,601.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.