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Finding the Third Proportional to 471,429 and 1,017,558

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Solution

The third proportional to 471,429 and 1,017,558 is: 2,196,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,429 : 1,017,558 = 1,017,558 : x
  2. Step 2: Convert to fraction form
    471,429/1,017,558 = 1,017,558/x
  3. Step 3: Cross multiply
    471,429x = 1,017,558 × 1,017,558
  4. Step 4: Simplify right side
    471,429x = 1,035,424,283,364
  5. Step 5: Solve for x
    x = 1,035,424,283,364/471,429
  6. Step 6: Final answer
    x = 2,196,352.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.