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Finding the Third Proportional to 2,378,884 and 3,830,352

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Solution

The third proportional to 2,378,884 and 3,830,352 is: 6,167,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,884 : 3,830,352 = 3,830,352 : x
  2. Step 2: Convert to fraction form
    2,378,884/3,830,352 = 3,830,352/x
  3. Step 3: Cross multiply
    2,378,884x = 3,830,352 × 3,830,352
  4. Step 4: Simplify right side
    2,378,884x = 14,671,596,443,904
  5. Step 5: Solve for x
    x = 14,671,596,443,904/2,378,884
  6. Step 6: Final answer
    x = 6,167,428.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.