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Finding the Third Proportional to 1,014,534 and 1,519,006.50

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Solution

The third proportional to 1,014,534 and 1,519,006.50 is: 2,274,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,534 : 1,519,006.50 = 1,519,006.50 : x
  2. Step 2: Convert to fraction form
    1,014,534/1,519,006.50 = 1,519,006.50/x
  3. Step 3: Cross multiply
    1,014,534x = 1,519,006.50 × 1,519,006.50
  4. Step 4: Simplify right side
    1,014,534x = 2,307,380,747,042.25
  5. Step 5: Solve for x
    x = 2,307,380,747,042.25/1,014,534
  6. Step 6: Final answer
    x = 2,274,325.70

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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.