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Finding the Third Proportional to 2,838,128 and 4,174,032

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Solution

The third proportional to 2,838,128 and 4,174,032 is: 6,138,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,128 : 4,174,032 = 4,174,032 : x
  2. Step 2: Convert to fraction form
    2,838,128/4,174,032 = 4,174,032/x
  3. Step 3: Cross multiply
    2,838,128x = 4,174,032 × 4,174,032
  4. Step 4: Simplify right side
    2,838,128x = 17,422,543,137,024
  5. Step 5: Solve for x
    x = 17,422,543,137,024/2,838,128
  6. Step 6: Final answer
    x = 6,138,744.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.