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Finding the Third Proportional to 690,098 and 1,047,563

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Solution

The third proportional to 690,098 and 1,047,563 is: 1,590,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,098 : 1,047,563 = 1,047,563 : x
  2. Step 2: Convert to fraction form
    690,098/1,047,563 = 1,047,563/x
  3. Step 3: Cross multiply
    690,098x = 1,047,563 × 1,047,563
  4. Step 4: Simplify right side
    690,098x = 1,097,388,238,969
  5. Step 5: Solve for x
    x = 1,097,388,238,969/690,098
  6. Step 6: Final answer
    x = 1,590,191.88

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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.