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Finding the Third Proportional to 466,383.45 and 988,814.46

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Solution

The third proportional to 466,383.45 and 988,814.46 is: 2,096,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,383.45 : 988,814.46 = 988,814.46 : x
  2. Step 2: Convert to fraction form
    466,383.45/988,814.46 = 988,814.46/x
  3. Step 3: Cross multiply
    466,383.45x = 988,814.46 × 988,814.46
  4. Step 4: Simplify right side
    466,383.45x = 977,754,038,159.12
  5. Step 5: Solve for x
    x = 977,754,038,159.12/466,383.45
  6. Step 6: Final answer
    x = 2,096,459.57

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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.