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Finding the Third Proportional to 685,613 and 1,476,590

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Solution

The third proportional to 685,613 and 1,476,590 is: 3,180,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,613 : 1,476,590 = 1,476,590 : x
  2. Step 2: Convert to fraction form
    685,613/1,476,590 = 1,476,590/x
  3. Step 3: Cross multiply
    685,613x = 1,476,590 × 1,476,590
  4. Step 4: Simplify right side
    685,613x = 2,180,318,028,100
  5. Step 5: Solve for x
    x = 2,180,318,028,100/685,613
  6. Step 6: Final answer
    x = 3,180,100.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.