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Finding the Third Proportional to 4,700,190 and 6,341,670

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Solution

The third proportional to 4,700,190 and 6,341,670 is: 8,556,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700,190 : 6,341,670 = 6,341,670 : x
  2. Step 2: Convert to fraction form
    4,700,190/6,341,670 = 6,341,670/x
  3. Step 3: Cross multiply
    4,700,190x = 6,341,670 × 6,341,670
  4. Step 4: Simplify right side
    4,700,190x = 40,216,778,388,900
  5. Step 5: Solve for x
    x = 40,216,778,388,900/4,700,190
  6. Step 6: Final answer
    x = 8,556,415.46

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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.