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Finding the Third Proportional to 590,451 and 1,222,914

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Solution

The third proportional to 590,451 and 1,222,914 is: 2,532,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,451 : 1,222,914 = 1,222,914 : x
  2. Step 2: Convert to fraction form
    590,451/1,222,914 = 1,222,914/x
  3. Step 3: Cross multiply
    590,451x = 1,222,914 × 1,222,914
  4. Step 4: Simplify right side
    590,451x = 1,495,518,651,396
  5. Step 5: Solve for x
    x = 1,495,518,651,396/590,451
  6. Step 6: Final answer
    x = 2,532,841.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.