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Finding the Third Proportional to 690,097 and 1,047,561

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Solution

The third proportional to 690,097 and 1,047,561 is: 1,590,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,097 : 1,047,561 = 1,047,561 : x
  2. Step 2: Convert to fraction form
    690,097/1,047,561 = 1,047,561/x
  3. Step 3: Cross multiply
    690,097x = 1,047,561 × 1,047,561
  4. Step 4: Simplify right side
    690,097x = 1,097,384,048,721
  5. Step 5: Solve for x
    x = 1,097,384,048,721/690,097
  6. Step 6: Final answer
    x = 1,590,188.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.