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Finding the Third Proportional to 3,194,214 and 4,829,445

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Solution

The third proportional to 3,194,214 and 4,829,445 is: 7,301,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,214 : 4,829,445 = 4,829,445 : x
  2. Step 2: Convert to fraction form
    3,194,214/4,829,445 = 4,829,445/x
  3. Step 3: Cross multiply
    3,194,214x = 4,829,445 × 4,829,445
  4. Step 4: Simplify right side
    3,194,214x = 23,323,539,008,025
  5. Step 5: Solve for x
    x = 23,323,539,008,025/3,194,214
  6. Step 6: Final answer
    x = 7,301,808.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.