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Finding the Third Proportional to 812,457 and 1,257,334.50

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Solution

The third proportional to 812,457 and 1,257,334.50 is: 1,945,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,457 : 1,257,334.50 = 1,257,334.50 : x
  2. Step 2: Convert to fraction form
    812,457/1,257,334.50 = 1,257,334.50/x
  3. Step 3: Cross multiply
    812,457x = 1,257,334.50 × 1,257,334.50
  4. Step 4: Simplify right side
    812,457x = 1,580,890,044,890.25
  5. Step 5: Solve for x
    x = 1,580,890,044,890.25/812,457
  6. Step 6: Final answer
    x = 1,945,813.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.