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Finding the Third Proportional to 1,047,296.50 and 1,638,336.75

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Solution

The third proportional to 1,047,296.50 and 1,638,336.75 is: 2,562,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,296.50 : 1,638,336.75 = 1,638,336.75 : x
  2. Step 2: Convert to fraction form
    1,047,296.50/1,638,336.75 = 1,638,336.75/x
  3. Step 3: Cross multiply
    1,047,296.50x = 1,638,336.75 × 1,638,336.75
  4. Step 4: Simplify right side
    1,047,296.50x = 2,684,147,306,400.56
  5. Step 5: Solve for x
    x = 2,684,147,306,400.56/1,047,296.50
  6. Step 6: Final answer
    x = 2,562,929.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.