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Finding the Third Proportional to 613,653 and 1,312,590

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Solution

The third proportional to 613,653 and 1,312,590 is: 2,807,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,653 : 1,312,590 = 1,312,590 : x
  2. Step 2: Convert to fraction form
    613,653/1,312,590 = 1,312,590/x
  3. Step 3: Cross multiply
    613,653x = 1,312,590 × 1,312,590
  4. Step 4: Simplify right side
    613,653x = 1,722,892,508,100
  5. Step 5: Solve for x
    x = 1,722,892,508,100/613,653
  6. Step 6: Final answer
    x = 2,807,600.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.