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Finding the Third Proportional to 668,751 and 1,026,454.50

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Solution

The third proportional to 668,751 and 1,026,454.50 is: 1,575,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,751 : 1,026,454.50 = 1,026,454.50 : x
  2. Step 2: Convert to fraction form
    668,751/1,026,454.50 = 1,026,454.50/x
  3. Step 3: Cross multiply
    668,751x = 1,026,454.50 × 1,026,454.50
  4. Step 4: Simplify right side
    668,751x = 1,053,608,840,570.25
  5. Step 5: Solve for x
    x = 1,053,608,840,570.25/668,751
  6. Step 6: Final answer
    x = 1,575,487.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.