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Finding the Third Proportional to 642,038 and 1,391,073

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Solution

The third proportional to 642,038 and 1,391,073 is: 3,013,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,038 : 1,391,073 = 1,391,073 : x
  2. Step 2: Convert to fraction form
    642,038/1,391,073 = 1,391,073/x
  3. Step 3: Cross multiply
    642,038x = 1,391,073 × 1,391,073
  4. Step 4: Simplify right side
    642,038x = 1,935,084,091,329
  5. Step 5: Solve for x
    x = 1,935,084,091,329/642,038
  6. Step 6: Final answer
    x = 3,013,971.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.