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Finding the Third Proportional to 1,346,652 and 2,882,466

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Solution

The third proportional to 1,346,652 and 2,882,466 is: 6,169,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,652 : 2,882,466 = 2,882,466 : x
  2. Step 2: Convert to fraction form
    1,346,652/2,882,466 = 2,882,466/x
  3. Step 3: Cross multiply
    1,346,652x = 2,882,466 × 2,882,466
  4. Step 4: Simplify right side
    1,346,652x = 8,308,610,241,156
  5. Step 5: Solve for x
    x = 8,308,610,241,156/1,346,652
  6. Step 6: Final answer
    x = 6,169,827.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.