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Finding the Third Proportional to 889,724 and 2,099,416

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Solution

The third proportional to 889,724 and 2,099,416 is: 4,953,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,724 : 2,099,416 = 2,099,416 : x
  2. Step 2: Convert to fraction form
    889,724/2,099,416 = 2,099,416/x
  3. Step 3: Cross multiply
    889,724x = 2,099,416 × 2,099,416
  4. Step 4: Simplify right side
    889,724x = 4,407,547,541,056
  5. Step 5: Solve for x
    x = 4,407,547,541,056/889,724
  6. Step 6: Final answer
    x = 4,953,836.85

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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.