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Finding the Third Proportional to 1,646,200 and 2,473,680

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Solution

The third proportional to 1,646,200 and 2,473,680 is: 3,717,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,200 : 2,473,680 = 2,473,680 : x
  2. Step 2: Convert to fraction form
    1,646,200/2,473,680 = 2,473,680/x
  3. Step 3: Cross multiply
    1,646,200x = 2,473,680 × 2,473,680
  4. Step 4: Simplify right side
    1,646,200x = 6,119,092,742,400
  5. Step 5: Solve for x
    x = 6,119,092,742,400/1,646,200
  6. Step 6: Final answer
    x = 3,717,101.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.