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Finding the Third Proportional to 610,212 and 1,262,856

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Solution

The third proportional to 610,212 and 1,262,856 is: 2,613,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,212 : 1,262,856 = 1,262,856 : x
  2. Step 2: Convert to fraction form
    610,212/1,262,856 = 1,262,856/x
  3. Step 3: Cross multiply
    610,212x = 1,262,856 × 1,262,856
  4. Step 4: Simplify right side
    610,212x = 1,594,805,276,736
  5. Step 5: Solve for x
    x = 1,594,805,276,736/610,212
  6. Step 6: Final answer
    x = 2,613,526.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.