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Finding the Third Proportional to 523,910 and 1,145,898

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Solution

The third proportional to 523,910 and 1,145,898 is: 2,506,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,910 : 1,145,898 = 1,145,898 : x
  2. Step 2: Convert to fraction form
    523,910/1,145,898 = 1,145,898/x
  3. Step 3: Cross multiply
    523,910x = 1,145,898 × 1,145,898
  4. Step 4: Simplify right side
    523,910x = 1,313,082,226,404
  5. Step 5: Solve for x
    x = 1,313,082,226,404/523,910
  6. Step 6: Final answer
    x = 2,506,312.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.