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Finding the Third Proportional to 4,574,052 and 6,734,340

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Solution

The third proportional to 4,574,052 and 6,734,340 is: 9,914,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574,052 : 6,734,340 = 6,734,340 : x
  2. Step 2: Convert to fraction form
    4,574,052/6,734,340 = 6,734,340/x
  3. Step 3: Cross multiply
    4,574,052x = 6,734,340 × 6,734,340
  4. Step 4: Simplify right side
    4,574,052x = 45,351,335,235,600
  5. Step 5: Solve for x
    x = 45,351,335,235,600/4,574,052
  6. Step 6: Final answer
    x = 9,914,914.66

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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.