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Finding the Third Proportional to 1,746,470 and 3,800,476

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Solution

The third proportional to 1,746,470 and 3,800,476 is: 8,270,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,470 : 3,800,476 = 3,800,476 : x
  2. Step 2: Convert to fraction form
    1,746,470/3,800,476 = 3,800,476/x
  3. Step 3: Cross multiply
    1,746,470x = 3,800,476 × 3,800,476
  4. Step 4: Simplify right side
    1,746,470x = 14,443,617,826,576
  5. Step 5: Solve for x
    x = 14,443,617,826,576/1,746,470
  6. Step 6: Final answer
    x = 8,270,178.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.