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Finding the Third Proportional to 662,642 and 882,854

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Solution

The third proportional to 662,642 and 882,854 is: 1,176,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,642 : 882,854 = 882,854 : x
  2. Step 2: Convert to fraction form
    662,642/882,854 = 882,854/x
  3. Step 3: Cross multiply
    662,642x = 882,854 × 882,854
  4. Step 4: Simplify right side
    662,642x = 779,431,185,316
  5. Step 5: Solve for x
    x = 779,431,185,316/662,642
  6. Step 6: Final answer
    x = 1,176,247.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.