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Finding the Third Proportional to 1,634,175 and 3,490,695

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Solution

The third proportional to 1,634,175 and 3,490,695 is: 7,456,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,175 : 3,490,695 = 3,490,695 : x
  2. Step 2: Convert to fraction form
    1,634,175/3,490,695 = 3,490,695/x
  3. Step 3: Cross multiply
    1,634,175x = 3,490,695 × 3,490,695
  4. Step 4: Simplify right side
    1,634,175x = 12,184,951,583,025
  5. Step 5: Solve for x
    x = 12,184,951,583,025/1,634,175
  6. Step 6: Final answer
    x = 7,456,332.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.