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Finding the Third Proportional to 2,125,233 and 4,586,316

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Solution

The third proportional to 2,125,233 and 4,586,316 is: 9,897,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,233 : 4,586,316 = 4,586,316 : x
  2. Step 2: Convert to fraction form
    2,125,233/4,586,316 = 4,586,316/x
  3. Step 3: Cross multiply
    2,125,233x = 4,586,316 × 4,586,316
  4. Step 4: Simplify right side
    2,125,233x = 21,034,294,451,856
  5. Step 5: Solve for x
    x = 21,034,294,451,856/2,125,233
  6. Step 6: Final answer
    x = 9,897,406.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.