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Finding the Third Proportional to 612,148 and 1,322,657

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Solution

The third proportional to 612,148 and 1,322,657 is: 2,857,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,148 : 1,322,657 = 1,322,657 : x
  2. Step 2: Convert to fraction form
    612,148/1,322,657 = 1,322,657/x
  3. Step 3: Cross multiply
    612,148x = 1,322,657 × 1,322,657
  4. Step 4: Simplify right side
    612,148x = 1,749,421,539,649
  5. Step 5: Solve for x
    x = 1,749,421,539,649/612,148
  6. Step 6: Final answer
    x = 2,857,840.82

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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.