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Finding the Third Proportional to 1,693,742.63 and 2,414,466

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Solution

The third proportional to 1,693,742.63 and 2,414,466 is: 3,441,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,742.63 : 2,414,466 = 2,414,466 : x
  2. Step 2: Convert to fraction form
    1,693,742.63/2,414,466 = 2,414,466/x
  3. Step 3: Cross multiply
    1,693,742.63x = 2,414,466 × 2,414,466
  4. Step 4: Simplify right side
    1,693,742.63x = 5,829,646,065,156
  5. Step 5: Solve for x
    x = 5,829,646,065,156/1,693,742.63
  6. Step 6: Final answer
    x = 3,441,872.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.