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Finding the Third Proportional to 1,421,853.75 and 2,180,304

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Solution

The third proportional to 1,421,853.75 and 2,180,304 is: 3,343,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,853.75 : 2,180,304 = 2,180,304 : x
  2. Step 2: Convert to fraction form
    1,421,853.75/2,180,304 = 2,180,304/x
  3. Step 3: Cross multiply
    1,421,853.75x = 2,180,304 × 2,180,304
  4. Step 4: Simplify right side
    1,421,853.75x = 4,753,725,532,416
  5. Step 5: Solve for x
    x = 4,753,725,532,416/1,421,853.75
  6. Step 6: Final answer
    x = 3,343,329.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.