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Finding the Third Proportional to 1,358,922 and 2,962,020

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Solution

The third proportional to 1,358,922 and 2,962,020 is: 6,456,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,922 : 2,962,020 = 2,962,020 : x
  2. Step 2: Convert to fraction form
    1,358,922/2,962,020 = 2,962,020/x
  3. Step 3: Cross multiply
    1,358,922x = 2,962,020 × 2,962,020
  4. Step 4: Simplify right side
    1,358,922x = 8,773,562,480,400
  5. Step 5: Solve for x
    x = 8,773,562,480,400/1,358,922
  6. Step 6: Final answer
    x = 6,456,266.42

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Why These Related Problems?

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