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Finding the Third Proportional to 430,650 and 943,056

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Solution

The third proportional to 430,650 and 943,056 is: 2,065,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,650 : 943,056 = 943,056 : x
  2. Step 2: Convert to fraction form
    430,650/943,056 = 943,056/x
  3. Step 3: Cross multiply
    430,650x = 943,056 × 943,056
  4. Step 4: Simplify right side
    430,650x = 889,354,619,136
  5. Step 5: Solve for x
    x = 889,354,619,136/430,650
  6. Step 6: Final answer
    x = 2,065,144.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.