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Finding the Third Proportional to 581,504 and 1,232,066

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Solution

The third proportional to 581,504 and 1,232,066 is: 2,610,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,504 : 1,232,066 = 1,232,066 : x
  2. Step 2: Convert to fraction form
    581,504/1,232,066 = 1,232,066/x
  3. Step 3: Cross multiply
    581,504x = 1,232,066 × 1,232,066
  4. Step 4: Simplify right side
    581,504x = 1,517,986,628,356
  5. Step 5: Solve for x
    x = 1,517,986,628,356/581,504
  6. Step 6: Final answer
    x = 2,610,449.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.