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Finding the Third Proportional to 853,717.50 and 1,828,471.50

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Solution

The third proportional to 853,717.50 and 1,828,471.50 is: 3,916,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,717.50 : 1,828,471.50 = 1,828,471.50 : x
  2. Step 2: Convert to fraction form
    853,717.50/1,828,471.50 = 1,828,471.50/x
  3. Step 3: Cross multiply
    853,717.50x = 1,828,471.50 × 1,828,471.50
  4. Step 4: Simplify right side
    853,717.50x = 3,343,308,026,312.25
  5. Step 5: Solve for x
    x = 3,343,308,026,312.25/853,717.50
  6. Step 6: Final answer
    x = 3,916,176.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.