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Finding the Third Proportional to 401,070 and 856,276

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Solution

The third proportional to 401,070 and 856,276 is: 1,828,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,070 : 856,276 = 856,276 : x
  2. Step 2: Convert to fraction form
    401,070/856,276 = 856,276/x
  3. Step 3: Cross multiply
    401,070x = 856,276 × 856,276
  4. Step 4: Simplify right side
    401,070x = 733,208,588,176
  5. Step 5: Solve for x
    x = 733,208,588,176/401,070
  6. Step 6: Final answer
    x = 1,828,131.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.