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Finding the Third Proportional to 699,266 and 1,533,316

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Solution

The third proportional to 699,266 and 1,533,316 is: 3,362,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,266 : 1,533,316 = 1,533,316 : x
  2. Step 2: Convert to fraction form
    699,266/1,533,316 = 1,533,316/x
  3. Step 3: Cross multiply
    699,266x = 1,533,316 × 1,533,316
  4. Step 4: Simplify right side
    699,266x = 2,351,057,955,856
  5. Step 5: Solve for x
    x = 2,351,057,955,856/699,266
  6. Step 6: Final answer
    x = 3,362,179.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.