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Finding the Third Proportional to 2,030,217.75 and 4,514,358

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Solution

The third proportional to 2,030,217.75 and 4,514,358 is: 10,038,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,217.75 : 4,514,358 = 4,514,358 : x
  2. Step 2: Convert to fraction form
    2,030,217.75/4,514,358 = 4,514,358/x
  3. Step 3: Cross multiply
    2,030,217.75x = 4,514,358 × 4,514,358
  4. Step 4: Simplify right side
    2,030,217.75x = 20,379,428,152,164
  5. Step 5: Solve for x
    x = 20,379,428,152,164/2,030,217.75
  6. Step 6: Final answer
    x = 10,038,050.43

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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.