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Finding the Third Proportional to 429,381 and 1,051,947

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Solution

The third proportional to 429,381 and 1,051,947 is: 2,577,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,381 : 1,051,947 = 1,051,947 : x
  2. Step 2: Convert to fraction form
    429,381/1,051,947 = 1,051,947/x
  3. Step 3: Cross multiply
    429,381x = 1,051,947 × 1,051,947
  4. Step 4: Simplify right side
    429,381x = 1,106,592,490,809
  5. Step 5: Solve for x
    x = 1,106,592,490,809/429,381
  6. Step 6: Final answer
    x = 2,577,180.85

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.