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Finding the Third Proportional to 4,511,054 and 6,909,465

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Solution

The third proportional to 4,511,054 and 6,909,465 is: 10,583,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,054 : 6,909,465 = 6,909,465 : x
  2. Step 2: Convert to fraction form
    4,511,054/6,909,465 = 6,909,465/x
  3. Step 3: Cross multiply
    4,511,054x = 6,909,465 × 6,909,465
  4. Step 4: Simplify right side
    4,511,054x = 47,740,706,586,225
  5. Step 5: Solve for x
    x = 47,740,706,586,225/4,511,054
  6. Step 6: Final answer
    x = 10,583,049.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.