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Finding the Third Proportional to 393,154 and 924,197

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Solution

The third proportional to 393,154 and 924,197 is: 2,172,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,154 : 924,197 = 924,197 : x
  2. Step 2: Convert to fraction form
    393,154/924,197 = 924,197/x
  3. Step 3: Cross multiply
    393,154x = 924,197 × 924,197
  4. Step 4: Simplify right side
    393,154x = 854,140,094,809
  5. Step 5: Solve for x
    x = 854,140,094,809/393,154
  6. Step 6: Final answer
    x = 2,172,533.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.