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Finding the Third Proportional to 673,882 and 991,038

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Solution

The third proportional to 673,882 and 991,038 is: 1,457,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,882 : 991,038 = 991,038 : x
  2. Step 2: Convert to fraction form
    673,882/991,038 = 991,038/x
  3. Step 3: Cross multiply
    673,882x = 991,038 × 991,038
  4. Step 4: Simplify right side
    673,882x = 982,156,317,444
  5. Step 5: Solve for x
    x = 982,156,317,444/673,882
  6. Step 6: Final answer
    x = 1,457,460.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.