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Finding the Third Proportional to 2,952,909 and 4,222,651.50

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Solution

The third proportional to 2,952,909 and 4,222,651.50 is: 6,038,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,909 : 4,222,651.50 = 4,222,651.50 : x
  2. Step 2: Convert to fraction form
    2,952,909/4,222,651.50 = 4,222,651.50/x
  3. Step 3: Cross multiply
    2,952,909x = 4,222,651.50 × 4,222,651.50
  4. Step 4: Simplify right side
    2,952,909x = 17,830,785,690,452.25
  5. Step 5: Solve for x
    x = 17,830,785,690,452.25/2,952,909
  6. Step 6: Final answer
    x = 6,038,379.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.