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Finding the Third Proportional to 1,346,856 and 2,907,364

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Solution

The third proportional to 1,346,856 and 2,907,364 is: 6,275,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,856 : 2,907,364 = 2,907,364 : x
  2. Step 2: Convert to fraction form
    1,346,856/2,907,364 = 2,907,364/x
  3. Step 3: Cross multiply
    1,346,856x = 2,907,364 × 2,907,364
  4. Step 4: Simplify right side
    1,346,856x = 8,452,765,428,496
  5. Step 5: Solve for x
    x = 8,452,765,428,496/1,346,856
  6. Step 6: Final answer
    x = 6,275,923.65

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Why These Related Problems?

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