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Finding the Third Proportional to 690,370 and 1,476,689

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Solution

The third proportional to 690,370 and 1,476,689 is: 3,158,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,370 : 1,476,689 = 1,476,689 : x
  2. Step 2: Convert to fraction form
    690,370/1,476,689 = 1,476,689/x
  3. Step 3: Cross multiply
    690,370x = 1,476,689 × 1,476,689
  4. Step 4: Simplify right side
    690,370x = 2,180,610,402,721
  5. Step 5: Solve for x
    x = 2,180,610,402,721/690,370
  6. Step 6: Final answer
    x = 3,158,611.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.