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Finding the Third Proportional to 2,747,432.25 and 4,038,828.75

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Solution

The third proportional to 2,747,432.25 and 4,038,828.75 is: 5,937,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747,432.25 : 4,038,828.75 = 4,038,828.75 : x
  2. Step 2: Convert to fraction form
    2,747,432.25/4,038,828.75 = 4,038,828.75/x
  3. Step 3: Cross multiply
    2,747,432.25x = 4,038,828.75 × 4,038,828.75
  4. Step 4: Simplify right side
    2,747,432.25x = 16,312,137,671,826.56
  5. Step 5: Solve for x
    x = 16,312,137,671,826.56/2,747,432.25
  6. Step 6: Final answer
    x = 5,937,230.18

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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.