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Finding the Third Proportional to 1,901,472 and 4,144,128

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Solution

The third proportional to 1,901,472 and 4,144,128 is: 9,031,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,472 : 4,144,128 = 4,144,128 : x
  2. Step 2: Convert to fraction form
    1,901,472/4,144,128 = 4,144,128/x
  3. Step 3: Cross multiply
    1,901,472x = 4,144,128 × 4,144,128
  4. Step 4: Simplify right side
    1,901,472x = 17,173,796,880,384
  5. Step 5: Solve for x
    x = 17,173,796,880,384/1,901,472
  6. Step 6: Final answer
    x = 9,031,843.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.