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Finding the Third Proportional to 429,122 and 930,532

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Solution

The third proportional to 429,122 and 930,532 is: 2,017,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,122 : 930,532 = 930,532 : x
  2. Step 2: Convert to fraction form
    429,122/930,532 = 930,532/x
  3. Step 3: Cross multiply
    429,122x = 930,532 × 930,532
  4. Step 4: Simplify right side
    429,122x = 865,889,803,024
  5. Step 5: Solve for x
    x = 865,889,803,024/429,122
  6. Step 6: Final answer
    x = 2,017,817.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.