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Finding the Third Proportional to 1,746,409 and 3,758,395

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Solution

The third proportional to 1,746,409 and 3,758,395 is: 8,088,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,409 : 3,758,395 = 3,758,395 : x
  2. Step 2: Convert to fraction form
    1,746,409/3,758,395 = 3,758,395/x
  3. Step 3: Cross multiply
    1,746,409x = 3,758,395 × 3,758,395
  4. Step 4: Simplify right side
    1,746,409x = 14,125,532,976,025
  5. Step 5: Solve for x
    x = 14,125,532,976,025/1,746,409
  6. Step 6: Final answer
    x = 8,088,330.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.