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Finding the Third Proportional to 4,700,200 and 6,341,680

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Solution

The third proportional to 4,700,200 and 6,341,680 is: 8,556,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700,200 : 6,341,680 = 6,341,680 : x
  2. Step 2: Convert to fraction form
    4,700,200/6,341,680 = 6,341,680/x
  3. Step 3: Cross multiply
    4,700,200x = 6,341,680 × 6,341,680
  4. Step 4: Simplify right side
    4,700,200x = 40,216,905,222,400
  5. Step 5: Solve for x
    x = 40,216,905,222,400/4,700,200
  6. Step 6: Final answer
    x = 8,556,424.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.