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Finding the Third Proportional to 3,068,419 and 4,602,628.50

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Solution

The third proportional to 3,068,419 and 4,602,628.50 is: 6,903,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,419 : 4,602,628.50 = 4,602,628.50 : x
  2. Step 2: Convert to fraction form
    3,068,419/4,602,628.50 = 4,602,628.50/x
  3. Step 3: Cross multiply
    3,068,419x = 4,602,628.50 × 4,602,628.50
  4. Step 4: Simplify right side
    3,068,419x = 21,184,189,109,012.25
  5. Step 5: Solve for x
    x = 21,184,189,109,012.25/3,068,419
  6. Step 6: Final answer
    x = 6,903,942.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.