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Finding the Third Proportional to 2,698,344 and 5,779,224

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Solution

The third proportional to 2,698,344 and 5,779,224 is: 12,377,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,344 : 5,779,224 = 5,779,224 : x
  2. Step 2: Convert to fraction form
    2,698,344/5,779,224 = 5,779,224/x
  3. Step 3: Cross multiply
    2,698,344x = 5,779,224 × 5,779,224
  4. Step 4: Simplify right side
    2,698,344x = 33,399,430,042,176
  5. Step 5: Solve for x
    x = 33,399,430,042,176/2,698,344
  6. Step 6: Final answer
    x = 12,377,750.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.