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Finding the Third Proportional to 4,766,701 and 6,120,316

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Solution

The third proportional to 4,766,701 and 6,120,316 is: 7,858,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766,701 : 6,120,316 = 6,120,316 : x
  2. Step 2: Convert to fraction form
    4,766,701/6,120,316 = 6,120,316/x
  3. Step 3: Cross multiply
    4,766,701x = 6,120,316 × 6,120,316
  4. Step 4: Simplify right side
    4,766,701x = 37,458,267,939,856
  5. Step 5: Solve for x
    x = 37,458,267,939,856/4,766,701
  6. Step 6: Final answer
    x = 7,858,321.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.