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Finding the Third Proportional to 690,368 and 1,476,685

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Solution

The third proportional to 690,368 and 1,476,685 is: 3,158,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,368 : 1,476,685 = 1,476,685 : x
  2. Step 2: Convert to fraction form
    690,368/1,476,685 = 1,476,685/x
  3. Step 3: Cross multiply
    690,368x = 1,476,685 × 1,476,685
  4. Step 4: Simplify right side
    690,368x = 2,180,598,589,225
  5. Step 5: Solve for x
    x = 2,180,598,589,225/690,368
  6. Step 6: Final answer
    x = 3,158,603.22

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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.