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Finding the Third Proportional to 4,307,296.50 and 6,757,830

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Solution

The third proportional to 4,307,296.50 and 6,757,830 is: 10,602,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,296.50 : 6,757,830 = 6,757,830 : x
  2. Step 2: Convert to fraction form
    4,307,296.50/6,757,830 = 6,757,830/x
  3. Step 3: Cross multiply
    4,307,296.50x = 6,757,830 × 6,757,830
  4. Step 4: Simplify right side
    4,307,296.50x = 45,668,266,308,900
  5. Step 5: Solve for x
    x = 45,668,266,308,900/4,307,296.50
  6. Step 6: Final answer
    x = 10,602,536.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.