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Finding the Third Proportional to 461,403 and 988,416

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Solution

The third proportional to 461,403 and 988,416 is: 2,117,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,403 : 988,416 = 988,416 : x
  2. Step 2: Convert to fraction form
    461,403/988,416 = 988,416/x
  3. Step 3: Cross multiply
    461,403x = 988,416 × 988,416
  4. Step 4: Simplify right side
    461,403x = 976,966,189,056
  5. Step 5: Solve for x
    x = 976,966,189,056/461,403
  6. Step 6: Final answer
    x = 2,117,381.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.