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Finding the Third Proportional to 1,340,728 and 1,875,416

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Solution

The third proportional to 1,340,728 and 1,875,416 is: 2,623,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,728 : 1,875,416 = 1,875,416 : x
  2. Step 2: Convert to fraction form
    1,340,728/1,875,416 = 1,875,416/x
  3. Step 3: Cross multiply
    1,340,728x = 1,875,416 × 1,875,416
  4. Step 4: Simplify right side
    1,340,728x = 3,517,185,173,056
  5. Step 5: Solve for x
    x = 3,517,185,173,056/1,340,728
  6. Step 6: Final answer
    x = 2,623,339.84

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Why These Related Problems?

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