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Finding the Third Proportional to 455,886 and 992,046

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Solution

The third proportional to 455,886 and 992,046 is: 2,158,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,886 : 992,046 = 992,046 : x
  2. Step 2: Convert to fraction form
    455,886/992,046 = 992,046/x
  3. Step 3: Cross multiply
    455,886x = 992,046 × 992,046
  4. Step 4: Simplify right side
    455,886x = 984,155,266,116
  5. Step 5: Solve for x
    x = 984,155,266,116/455,886
  6. Step 6: Final answer
    x = 2,158,774.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.