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Finding the Third Proportional to 399,044 and 875,695

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Solution

The third proportional to 399,044 and 875,695 is: 1,921,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,044 : 875,695 = 875,695 : x
  2. Step 2: Convert to fraction form
    399,044/875,695 = 875,695/x
  3. Step 3: Cross multiply
    399,044x = 875,695 × 875,695
  4. Step 4: Simplify right side
    399,044x = 766,841,733,025
  5. Step 5: Solve for x
    x = 766,841,733,025/399,044
  6. Step 6: Final answer
    x = 1,921,697.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.