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Finding the Third Proportional to 806,043.50 and 1,175,840

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Solution

The third proportional to 806,043.50 and 1,175,840 is: 1,715,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,043.50 : 1,175,840 = 1,175,840 : x
  2. Step 2: Convert to fraction form
    806,043.50/1,175,840 = 1,175,840/x
  3. Step 3: Cross multiply
    806,043.50x = 1,175,840 × 1,175,840
  4. Step 4: Simplify right side
    806,043.50x = 1,382,599,705,600
  5. Step 5: Solve for x
    x = 1,382,599,705,600/806,043.50
  6. Step 6: Final answer
    x = 1,715,291.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.