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Finding the Third Proportional to 1,690,918 and 3,746,419

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Solution

The third proportional to 1,690,918 and 3,746,419 is: 8,300,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,918 : 3,746,419 = 3,746,419 : x
  2. Step 2: Convert to fraction form
    1,690,918/3,746,419 = 3,746,419/x
  3. Step 3: Cross multiply
    1,690,918x = 3,746,419 × 3,746,419
  4. Step 4: Simplify right side
    1,690,918x = 14,035,655,323,561
  5. Step 5: Solve for x
    x = 14,035,655,323,561/1,690,918
  6. Step 6: Final answer
    x = 8,300,612.64

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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.