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Finding the Third Proportional to 423,936 and 898,416

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Solution

The third proportional to 423,936 and 898,416 is: 1,903,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,936 : 898,416 = 898,416 : x
  2. Step 2: Convert to fraction form
    423,936/898,416 = 898,416/x
  3. Step 3: Cross multiply
    423,936x = 898,416 × 898,416
  4. Step 4: Simplify right side
    423,936x = 807,151,309,056
  5. Step 5: Solve for x
    x = 807,151,309,056/423,936
  6. Step 6: Final answer
    x = 1,903,946.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.