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Finding the Third Proportional to 690,114 and 1,053,603

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Solution

The third proportional to 690,114 and 1,053,603 is: 1,608,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,114 : 1,053,603 = 1,053,603 : x
  2. Step 2: Convert to fraction form
    690,114/1,053,603 = 1,053,603/x
  3. Step 3: Cross multiply
    690,114x = 1,053,603 × 1,053,603
  4. Step 4: Simplify right side
    690,114x = 1,110,079,281,609
  5. Step 5: Solve for x
    x = 1,110,079,281,609/690,114
  6. Step 6: Final answer
    x = 1,608,544.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.