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Finding the Third Proportional to 1,136,967 and 1,663,035

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Solution

The third proportional to 1,136,967 and 1,663,035 is: 2,432,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,967 : 1,663,035 = 1,663,035 : x
  2. Step 2: Convert to fraction form
    1,136,967/1,663,035 = 1,663,035/x
  3. Step 3: Cross multiply
    1,136,967x = 1,663,035 × 1,663,035
  4. Step 4: Simplify right side
    1,136,967x = 2,765,685,411,225
  5. Step 5: Solve for x
    x = 2,765,685,411,225/1,136,967
  6. Step 6: Final answer
    x = 2,432,511.60

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Why These Related Problems?

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