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Finding the Third Proportional to 1,109,644 and 1,624,960

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Solution

The third proportional to 1,109,644 and 1,624,960 is: 2,379,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,644 : 1,624,960 = 1,624,960 : x
  2. Step 2: Convert to fraction form
    1,109,644/1,624,960 = 1,624,960/x
  3. Step 3: Cross multiply
    1,109,644x = 1,624,960 × 1,624,960
  4. Step 4: Simplify right side
    1,109,644x = 2,640,495,001,600
  5. Step 5: Solve for x
    x = 2,640,495,001,600/1,109,644
  6. Step 6: Final answer
    x = 2,379,587.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.