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Finding the Third Proportional to 456,618 and 991,046

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Solution

The third proportional to 456,618 and 991,046 is: 2,150,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,618 : 991,046 = 991,046 : x
  2. Step 2: Convert to fraction form
    456,618/991,046 = 991,046/x
  3. Step 3: Cross multiply
    456,618x = 991,046 × 991,046
  4. Step 4: Simplify right side
    456,618x = 982,172,174,116
  5. Step 5: Solve for x
    x = 982,172,174,116/456,618
  6. Step 6: Final answer
    x = 2,150,971.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.