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Finding the Third Proportional to 523,422 and 1,130,405.63

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Solution

The third proportional to 523,422 and 1,130,405.63 is: 2,441,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,422 : 1,130,405.63 = 1,130,405.63 : x
  2. Step 2: Convert to fraction form
    523,422/1,130,405.63 = 1,130,405.63/x
  3. Step 3: Cross multiply
    523,422x = 1,130,405.63 × 1,130,405.63
  4. Step 4: Simplify right side
    523,422x = 1,277,816,877,031.64
  5. Step 5: Solve for x
    x = 1,277,816,877,031.64/523,422
  6. Step 6: Final answer
    x = 2,441,274.68

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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.