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Finding the Third Proportional to 437,074 and 953,580

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Solution

The third proportional to 437,074 and 953,580 is: 2,080,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,074 : 953,580 = 953,580 : x
  2. Step 2: Convert to fraction form
    437,074/953,580 = 953,580/x
  3. Step 3: Cross multiply
    437,074x = 953,580 × 953,580
  4. Step 4: Simplify right side
    437,074x = 909,314,816,400
  5. Step 5: Solve for x
    x = 909,314,816,400/437,074
  6. Step 6: Final answer
    x = 2,080,459.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.