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Finding the Third Proportional to 2,747,009.50 and 4,038,297

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Solution

The third proportional to 2,747,009.50 and 4,038,297 is: 5,936,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747,009.50 : 4,038,297 = 4,038,297 : x
  2. Step 2: Convert to fraction form
    2,747,009.50/4,038,297 = 4,038,297/x
  3. Step 3: Cross multiply
    2,747,009.50x = 4,038,297 × 4,038,297
  4. Step 4: Simplify right side
    2,747,009.50x = 16,307,842,660,209
  5. Step 5: Solve for x
    x = 16,307,842,660,209/2,747,009.50
  6. Step 6: Final answer
    x = 5,936,580.37

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Why These Related Problems?

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