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Finding the Third Proportional to 429,148 and 942,312

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Solution

The third proportional to 429,148 and 942,312 is: 2,069,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,148 : 942,312 = 942,312 : x
  2. Step 2: Convert to fraction form
    429,148/942,312 = 942,312/x
  3. Step 3: Cross multiply
    429,148x = 942,312 × 942,312
  4. Step 4: Simplify right side
    429,148x = 887,951,905,344
  5. Step 5: Solve for x
    x = 887,951,905,344/429,148
  6. Step 6: Final answer
    x = 2,069,104.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.