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Finding the Third Proportional to 2,856,048 and 5,948,640

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Solution

The third proportional to 2,856,048 and 5,948,640 is: 12,389,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856,048 : 5,948,640 = 5,948,640 : x
  2. Step 2: Convert to fraction form
    2,856,048/5,948,640 = 5,948,640/x
  3. Step 3: Cross multiply
    2,856,048x = 5,948,640 × 5,948,640
  4. Step 4: Simplify right side
    2,856,048x = 35,386,317,849,600
  5. Step 5: Solve for x
    x = 35,386,317,849,600/2,856,048
  6. Step 6: Final answer
    x = 12,389,959.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.