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Finding the Third Proportional to 855,306 and 1,851,774

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Solution

The third proportional to 855,306 and 1,851,774 is: 4,009,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,306 : 1,851,774 = 1,851,774 : x
  2. Step 2: Convert to fraction form
    855,306/1,851,774 = 1,851,774/x
  3. Step 3: Cross multiply
    855,306x = 1,851,774 × 1,851,774
  4. Step 4: Simplify right side
    855,306x = 3,429,066,947,076
  5. Step 5: Solve for x
    x = 3,429,066,947,076/855,306
  6. Step 6: Final answer
    x = 4,009,169.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.