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Finding the Third Proportional to 2,164,034 and 4,701,316

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Solution

The third proportional to 2,164,034 and 4,701,316 is: 10,213,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,034 : 4,701,316 = 4,701,316 : x
  2. Step 2: Convert to fraction form
    2,164,034/4,701,316 = 4,701,316/x
  3. Step 3: Cross multiply
    2,164,034x = 4,701,316 × 4,701,316
  4. Step 4: Simplify right side
    2,164,034x = 22,102,372,131,856
  5. Step 5: Solve for x
    x = 22,102,372,131,856/2,164,034
  6. Step 6: Final answer
    x = 10,213,505.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.