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Finding the Third Proportional to 941,174 and 1,420,537

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Solution

The third proportional to 941,174 and 1,420,537 is: 2,144,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,174 : 1,420,537 = 1,420,537 : x
  2. Step 2: Convert to fraction form
    941,174/1,420,537 = 1,420,537/x
  3. Step 3: Cross multiply
    941,174x = 1,420,537 × 1,420,537
  4. Step 4: Simplify right side
    941,174x = 2,017,925,368,369
  5. Step 5: Solve for x
    x = 2,017,925,368,369/941,174
  6. Step 6: Final answer
    x = 2,144,051.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.