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Finding the Third Proportional to 2,293,136 and 4,774,488

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Solution

The third proportional to 2,293,136 and 4,774,488 is: 9,940,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293,136 : 4,774,488 = 4,774,488 : x
  2. Step 2: Convert to fraction form
    2,293,136/4,774,488 = 4,774,488/x
  3. Step 3: Cross multiply
    2,293,136x = 4,774,488 × 4,774,488
  4. Step 4: Simplify right side
    2,293,136x = 22,795,735,662,144
  5. Step 5: Solve for x
    x = 22,795,735,662,144/2,293,136
  6. Step 6: Final answer
    x = 9,940,856.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.