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Finding the Third Proportional to 1,690,398 and 3,758,748

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Solution

The third proportional to 1,690,398 and 3,758,748 is: 8,357,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,398 : 3,758,748 = 3,758,748 : x
  2. Step 2: Convert to fraction form
    1,690,398/3,758,748 = 3,758,748/x
  3. Step 3: Cross multiply
    1,690,398x = 3,758,748 × 3,758,748
  4. Step 4: Simplify right side
    1,690,398x = 14,128,186,527,504
  5. Step 5: Solve for x
    x = 14,128,186,527,504/1,690,398
  6. Step 6: Final answer
    x = 8,357,905.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.