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Finding the Third Proportional to 1,782,550 and 2,634,511

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Solution

The third proportional to 1,782,550 and 2,634,511 is: 3,893,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,550 : 2,634,511 = 2,634,511 : x
  2. Step 2: Convert to fraction form
    1,782,550/2,634,511 = 2,634,511/x
  3. Step 3: Cross multiply
    1,782,550x = 2,634,511 × 2,634,511
  4. Step 4: Simplify right side
    1,782,550x = 6,940,648,209,121
  5. Step 5: Solve for x
    x = 6,940,648,209,121/1,782,550
  6. Step 6: Final answer
    x = 3,893,662.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.