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Finding the Third Proportional to 1,465,684 and 3,168,536

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Solution

The third proportional to 1,465,684 and 3,168,536 is: 6,849,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,684 : 3,168,536 = 3,168,536 : x
  2. Step 2: Convert to fraction form
    1,465,684/3,168,536 = 3,168,536/x
  3. Step 3: Cross multiply
    1,465,684x = 3,168,536 × 3,168,536
  4. Step 4: Simplify right side
    1,465,684x = 10,039,620,383,296
  5. Step 5: Solve for x
    x = 10,039,620,383,296/1,465,684
  6. Step 6: Final answer
    x = 6,849,785.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.