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Finding the Third Proportional to 1,122,064 and 1,578,264

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Solution

The third proportional to 1,122,064 and 1,578,264 is: 2,219,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,064 : 1,578,264 = 1,578,264 : x
  2. Step 2: Convert to fraction form
    1,122,064/1,578,264 = 1,578,264/x
  3. Step 3: Cross multiply
    1,122,064x = 1,578,264 × 1,578,264
  4. Step 4: Simplify right side
    1,122,064x = 2,490,917,253,696
  5. Step 5: Solve for x
    x = 2,490,917,253,696/1,122,064
  6. Step 6: Final answer
    x = 2,219,942.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.