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Finding the Third Proportional to 1,210,999 and 2,854,664

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Solution

The third proportional to 1,210,999 and 2,854,664 is: 6,729,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,999 : 2,854,664 = 2,854,664 : x
  2. Step 2: Convert to fraction form
    1,210,999/2,854,664 = 2,854,664/x
  3. Step 3: Cross multiply
    1,210,999x = 2,854,664 × 2,854,664
  4. Step 4: Simplify right side
    1,210,999x = 8,149,106,552,896
  5. Step 5: Solve for x
    x = 8,149,106,552,896/1,210,999
  6. Step 6: Final answer
    x = 6,729,243.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.