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Finding the Third Proportional to 1,267,114.50 and 2,757,298.50

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Solution

The third proportional to 1,267,114.50 and 2,757,298.50 is: 6,000,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,114.50 : 2,757,298.50 = 2,757,298.50 : x
  2. Step 2: Convert to fraction form
    1,267,114.50/2,757,298.50 = 2,757,298.50/x
  3. Step 3: Cross multiply
    1,267,114.50x = 2,757,298.50 × 2,757,298.50
  4. Step 4: Simplify right side
    1,267,114.50x = 7,602,695,018,102.25
  5. Step 5: Solve for x
    x = 7,602,695,018,102.25/1,267,114.50
  6. Step 6: Final answer
    x = 6,000,006.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.