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Finding the Third Proportional to 963,504 and 2,098,590

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Solution

The third proportional to 963,504 and 2,098,590 is: 4,570,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,504 : 2,098,590 = 2,098,590 : x
  2. Step 2: Convert to fraction form
    963,504/2,098,590 = 2,098,590/x
  3. Step 3: Cross multiply
    963,504x = 2,098,590 × 2,098,590
  4. Step 4: Simplify right side
    963,504x = 4,404,079,988,100
  5. Step 5: Solve for x
    x = 4,404,079,988,100/963,504
  6. Step 6: Final answer
    x = 4,570,899.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.