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Finding the Third Proportional to 1,464,300 and 2,999,961

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Solution

The third proportional to 1,464,300 and 2,999,961 is: 6,146,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,300 : 2,999,961 = 2,999,961 : x
  2. Step 2: Convert to fraction form
    1,464,300/2,999,961 = 2,999,961/x
  3. Step 3: Cross multiply
    1,464,300x = 2,999,961 × 2,999,961
  4. Step 4: Simplify right side
    1,464,300x = 8,999,766,001,521
  5. Step 5: Solve for x
    x = 8,999,766,001,521/1,464,300
  6. Step 6: Final answer
    x = 6,146,121.70

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.