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Finding the Third Proportional to 994,875 and 2,131,678.50

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Solution

The third proportional to 994,875 and 2,131,678.50 is: 4,567,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,875 : 2,131,678.50 = 2,131,678.50 : x
  2. Step 2: Convert to fraction form
    994,875/2,131,678.50 = 2,131,678.50/x
  3. Step 3: Cross multiply
    994,875x = 2,131,678.50 × 2,131,678.50
  4. Step 4: Simplify right side
    994,875x = 4,544,053,227,362.25
  5. Step 5: Solve for x
    x = 4,544,053,227,362.25/994,875
  6. Step 6: Final answer
    x = 4,567,461.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.