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Finding the Third Proportional to 2,495,846.81 and 3,566,623.22

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Solution

The third proportional to 2,495,846.81 and 3,566,623.22 is: 5,096,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495,846.81 : 3,566,623.22 = 3,566,623.22 : x
  2. Step 2: Convert to fraction form
    2,495,846.81/3,566,623.22 = 3,566,623.22/x
  3. Step 3: Cross multiply
    2,495,846.81x = 3,566,623.22 × 3,566,623.22
  4. Step 4: Simplify right side
    2,495,846.81x = 12,720,801,184,526.61
  5. Step 5: Solve for x
    x = 12,720,801,184,526.61/2,495,846.81
  6. Step 6: Final answer
    x = 5,096,787.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.