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Finding the Third Proportional to 2,196,010 and 4,758,580

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Solution

The third proportional to 2,196,010 and 4,758,580 is: 10,311,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,010 : 4,758,580 = 4,758,580 : x
  2. Step 2: Convert to fraction form
    2,196,010/4,758,580 = 4,758,580/x
  3. Step 3: Cross multiply
    2,196,010x = 4,758,580 × 4,758,580
  4. Step 4: Simplify right side
    2,196,010x = 22,644,083,616,400
  5. Step 5: Solve for x
    x = 22,644,083,616,400/2,196,010
  6. Step 6: Final answer
    x = 10,311,466.53

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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.