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Finding the Third Proportional to 4,574,672 and 6,728,928

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Solution

The third proportional to 4,574,672 and 6,728,928 is: 9,897,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574,672 : 6,728,928 = 6,728,928 : x
  2. Step 2: Convert to fraction form
    4,574,672/6,728,928 = 6,728,928/x
  3. Step 3: Cross multiply
    4,574,672x = 6,728,928 × 6,728,928
  4. Step 4: Simplify right side
    4,574,672x = 45,278,472,029,184
  5. Step 5: Solve for x
    x = 45,278,472,029,184/4,574,672
  6. Step 6: Final answer
    x = 9,897,643.38

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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.