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Finding the Third Proportional to 853,827 and 1,849,531.50

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Solution

The third proportional to 853,827 and 1,849,531.50 is: 4,006,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,827 : 1,849,531.50 = 1,849,531.50 : x
  2. Step 2: Convert to fraction form
    853,827/1,849,531.50 = 1,849,531.50/x
  3. Step 3: Cross multiply
    853,827x = 1,849,531.50 × 1,849,531.50
  4. Step 4: Simplify right side
    853,827x = 3,420,766,769,492.25
  5. Step 5: Solve for x
    x = 3,420,766,769,492.25/853,827
  6. Step 6: Final answer
    x = 4,006,393.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.