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Finding the Third Proportional to 1,448,873 and 3,146,640

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Solution

The third proportional to 1,448,873 and 3,146,640 is: 6,833,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,873 : 3,146,640 = 3,146,640 : x
  2. Step 2: Convert to fraction form
    1,448,873/3,146,640 = 3,146,640/x
  3. Step 3: Cross multiply
    1,448,873x = 3,146,640 × 3,146,640
  4. Step 4: Simplify right side
    1,448,873x = 9,901,343,289,600
  5. Step 5: Solve for x
    x = 9,901,343,289,600/1,448,873
  6. Step 6: Final answer
    x = 6,833,824.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.