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Finding the Third Proportional to 2,323,316 and 5,032,763

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Solution

The third proportional to 2,323,316 and 5,032,763 is: 10,901,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323,316 : 5,032,763 = 5,032,763 : x
  2. Step 2: Convert to fraction form
    2,323,316/5,032,763 = 5,032,763/x
  3. Step 3: Cross multiply
    2,323,316x = 5,032,763 × 5,032,763
  4. Step 4: Simplify right side
    2,323,316x = 25,328,703,414,169
  5. Step 5: Solve for x
    x = 25,328,703,414,169/2,323,316
  6. Step 6: Final answer
    x = 10,901,962.29

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Why These Related Problems?

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