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Finding the Third Proportional to 390,207 and 851,136

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Solution

The third proportional to 390,207 and 851,136 is: 1,856,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,207 : 851,136 = 851,136 : x
  2. Step 2: Convert to fraction form
    390,207/851,136 = 851,136/x
  3. Step 3: Cross multiply
    390,207x = 851,136 × 851,136
  4. Step 4: Simplify right side
    390,207x = 724,432,490,496
  5. Step 5: Solve for x
    x = 724,432,490,496/390,207
  6. Step 6: Final answer
    x = 1,856,533.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.