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Finding the Third Proportional to 690,106 and 1,047,573

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Solution

The third proportional to 690,106 and 1,047,573 is: 1,590,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,106 : 1,047,573 = 1,047,573 : x
  2. Step 2: Convert to fraction form
    690,106/1,047,573 = 1,047,573/x
  3. Step 3: Cross multiply
    690,106x = 1,047,573 × 1,047,573
  4. Step 4: Simplify right side
    690,106x = 1,097,409,190,329
  5. Step 5: Solve for x
    x = 1,097,409,190,329/690,106
  6. Step 6: Final answer
    x = 1,590,203.81

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Why These Related Problems?

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