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Finding the Third Proportional to 1,423,768 and 2,965,640

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Solution

The third proportional to 1,423,768 and 2,965,640 is: 6,177,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423,768 : 2,965,640 = 2,965,640 : x
  2. Step 2: Convert to fraction form
    1,423,768/2,965,640 = 2,965,640/x
  3. Step 3: Cross multiply
    1,423,768x = 2,965,640 × 2,965,640
  4. Step 4: Simplify right side
    1,423,768x = 8,795,020,609,600
  5. Step 5: Solve for x
    x = 8,795,020,609,600/1,423,768
  6. Step 6: Final answer
    x = 6,177,284.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.