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Finding the Third Proportional to 493,317 and 1,056,618

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Solution

The third proportional to 493,317 and 1,056,618 is: 2,263,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,317 : 1,056,618 = 1,056,618 : x
  2. Step 2: Convert to fraction form
    493,317/1,056,618 = 1,056,618/x
  3. Step 3: Cross multiply
    493,317x = 1,056,618 × 1,056,618
  4. Step 4: Simplify right side
    493,317x = 1,116,441,597,924
  5. Step 5: Solve for x
    x = 1,116,441,597,924/493,317
  6. Step 6: Final answer
    x = 2,263,132.22

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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.