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Finding the Third Proportional to 529,726 and 1,149,756

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Solution

The third proportional to 529,726 and 1,149,756 is: 2,495,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,726 : 1,149,756 = 1,149,756 : x
  2. Step 2: Convert to fraction form
    529,726/1,149,756 = 1,149,756/x
  3. Step 3: Cross multiply
    529,726x = 1,149,756 × 1,149,756
  4. Step 4: Simplify right side
    529,726x = 1,321,938,859,536
  5. Step 5: Solve for x
    x = 1,321,938,859,536/529,726
  6. Step 6: Final answer
    x = 2,495,514.40

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