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Finding the Third Proportional to 2,975,000 and 6,445,194

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Solution

The third proportional to 2,975,000 and 6,445,194 is: 13,963,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975,000 : 6,445,194 = 6,445,194 : x
  2. Step 2: Convert to fraction form
    2,975,000/6,445,194 = 6,445,194/x
  3. Step 3: Cross multiply
    2,975,000x = 6,445,194 × 6,445,194
  4. Step 4: Simplify right side
    2,975,000x = 41,540,525,697,636
  5. Step 5: Solve for x
    x = 41,540,525,697,636/2,975,000
  6. Step 6: Final answer
    x = 13,963,201.92

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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.