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Finding the Third Proportional to 4,585,728 and 6,890,148

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Solution

The third proportional to 4,585,728 and 6,890,148 is: 10,352,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585,728 : 6,890,148 = 6,890,148 : x
  2. Step 2: Convert to fraction form
    4,585,728/6,890,148 = 6,890,148/x
  3. Step 3: Cross multiply
    4,585,728x = 6,890,148 × 6,890,148
  4. Step 4: Simplify right side
    4,585,728x = 47,474,139,461,904
  5. Step 5: Solve for x
    x = 47,474,139,461,904/4,585,728
  6. Step 6: Final answer
    x = 10,352,585.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.