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Finding the Third Proportional to 2,030,431 and 4,514,736.50

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Solution

The third proportional to 2,030,431 and 4,514,736.50 is: 10,038,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,431 : 4,514,736.50 = 4,514,736.50 : x
  2. Step 2: Convert to fraction form
    2,030,431/4,514,736.50 = 4,514,736.50/x
  3. Step 3: Cross multiply
    2,030,431x = 4,514,736.50 × 4,514,736.50
  4. Step 4: Simplify right side
    2,030,431x = 20,382,845,664,432.25
  5. Step 5: Solve for x
    x = 20,382,845,664,432.25/2,030,431
  6. Step 6: Final answer
    x = 10,038,679.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.