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Finding the Third Proportional to 2,275,148 and 4,830,232

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Solution

The third proportional to 2,275,148 and 4,830,232 is: 10,254,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275,148 : 4,830,232 = 4,830,232 : x
  2. Step 2: Convert to fraction form
    2,275,148/4,830,232 = 4,830,232/x
  3. Step 3: Cross multiply
    2,275,148x = 4,830,232 × 4,830,232
  4. Step 4: Simplify right side
    2,275,148x = 23,331,141,173,824
  5. Step 5: Solve for x
    x = 23,331,141,173,824/2,275,148
  6. Step 6: Final answer
    x = 10,254,779.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.