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Finding the Third Proportional to 1,460,322 and 2,178,333

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Solution

The third proportional to 1,460,322 and 2,178,333 is: 3,249,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,322 : 2,178,333 = 2,178,333 : x
  2. Step 2: Convert to fraction form
    1,460,322/2,178,333 = 2,178,333/x
  3. Step 3: Cross multiply
    1,460,322x = 2,178,333 × 2,178,333
  4. Step 4: Simplify right side
    1,460,322x = 4,745,134,658,889
  5. Step 5: Solve for x
    x = 4,745,134,658,889/1,460,322
  6. Step 6: Final answer
    x = 3,249,375.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.