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Finding the Third Proportional to 467,994 and 1,010,706

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Solution

The third proportional to 467,994 and 1,010,706 is: 2,182,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,994 : 1,010,706 = 1,010,706 : x
  2. Step 2: Convert to fraction form
    467,994/1,010,706 = 1,010,706/x
  3. Step 3: Cross multiply
    467,994x = 1,010,706 × 1,010,706
  4. Step 4: Simplify right side
    467,994x = 1,021,526,618,436
  5. Step 5: Solve for x
    x = 1,021,526,618,436/467,994
  6. Step 6: Final answer
    x = 2,182,777.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.