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Finding the Third Proportional to 1,698,108 and 2,375,604

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Solution

The third proportional to 1,698,108 and 2,375,604 is: 3,323,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,108 : 2,375,604 = 2,375,604 : x
  2. Step 2: Convert to fraction form
    1,698,108/2,375,604 = 2,375,604/x
  3. Step 3: Cross multiply
    1,698,108x = 2,375,604 × 2,375,604
  4. Step 4: Simplify right side
    1,698,108x = 5,643,494,364,816
  5. Step 5: Solve for x
    x = 5,643,494,364,816/1,698,108
  6. Step 6: Final answer
    x = 3,323,401.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.