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Finding the Third Proportional to 1,234,656 and 2,603,812.50

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Solution

The third proportional to 1,234,656 and 2,603,812.50 is: 5,491,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,656 : 2,603,812.50 = 2,603,812.50 : x
  2. Step 2: Convert to fraction form
    1,234,656/2,603,812.50 = 2,603,812.50/x
  3. Step 3: Cross multiply
    1,234,656x = 2,603,812.50 × 2,603,812.50
  4. Step 4: Simplify right side
    1,234,656x = 6,779,839,535,156.25
  5. Step 5: Solve for x
    x = 6,779,839,535,156.25/1,234,656
  6. Step 6: Final answer
    x = 5,491,278.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.