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Finding the Third Proportional to 390,635 and 856,052

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Solution

The third proportional to 390,635 and 856,052 is: 1,875,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,635 : 856,052 = 856,052 : x
  2. Step 2: Convert to fraction form
    390,635/856,052 = 856,052/x
  3. Step 3: Cross multiply
    390,635x = 856,052 × 856,052
  4. Step 4: Simplify right side
    390,635x = 732,825,026,704
  5. Step 5: Solve for x
    x = 732,825,026,704/390,635
  6. Step 6: Final answer
    x = 1,875,984.04

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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.