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Finding the Third Proportional to 3,251,423.53 and 4,574,676.23

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Solution

The third proportional to 3,251,423.53 and 4,574,676.23 is: 6,436,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,423.53 : 4,574,676.23 = 4,574,676.23 : x
  2. Step 2: Convert to fraction form
    3,251,423.53/4,574,676.23 = 4,574,676.23/x
  3. Step 3: Cross multiply
    3,251,423.53x = 4,574,676.23 × 4,574,676.23
  4. Step 4: Simplify right side
    3,251,423.53x = 20,927,662,649,355.43
  5. Step 5: Solve for x
    x = 20,927,662,649,355.43/3,251,423.53
  6. Step 6: Final answer
    x = 6,436,461.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.