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Finding the Third Proportional to 889,730 and 2,099,431

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Solution

The third proportional to 889,730 and 2,099,431 is: 4,953,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,730 : 2,099,431 = 2,099,431 : x
  2. Step 2: Convert to fraction form
    889,730/2,099,431 = 2,099,431/x
  3. Step 3: Cross multiply
    889,730x = 2,099,431 × 2,099,431
  4. Step 4: Simplify right side
    889,730x = 4,407,610,523,761
  5. Step 5: Solve for x
    x = 4,407,610,523,761/889,730
  6. Step 6: Final answer
    x = 4,953,874.24

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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.