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Finding the Third Proportional to 2,665,953 and 3,809,646

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Solution

The third proportional to 2,665,953 and 3,809,646 is: 5,443,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,953 : 3,809,646 = 3,809,646 : x
  2. Step 2: Convert to fraction form
    2,665,953/3,809,646 = 3,809,646/x
  3. Step 3: Cross multiply
    2,665,953x = 3,809,646 × 3,809,646
  4. Step 4: Simplify right side
    2,665,953x = 14,513,402,645,316
  5. Step 5: Solve for x
    x = 14,513,402,645,316/2,665,953
  6. Step 6: Final answer
    x = 5,443,982.94

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.