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Finding the Third Proportional to 785,461.50 and 1,208,811

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Solution

The third proportional to 785,461.50 and 1,208,811 is: 1,860,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,461.50 : 1,208,811 = 1,208,811 : x
  2. Step 2: Convert to fraction form
    785,461.50/1,208,811 = 1,208,811/x
  3. Step 3: Cross multiply
    785,461.50x = 1,208,811 × 1,208,811
  4. Step 4: Simplify right side
    785,461.50x = 1,461,224,033,721
  5. Step 5: Solve for x
    x = 1,461,224,033,721/785,461.50
  6. Step 6: Final answer
    x = 1,860,338.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.