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Finding the Third Proportional to 634,316 and 951,270

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Solution

The third proportional to 634,316 and 951,270 is: 1,426,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,316 : 951,270 = 951,270 : x
  2. Step 2: Convert to fraction form
    634,316/951,270 = 951,270/x
  3. Step 3: Cross multiply
    634,316x = 951,270 × 951,270
  4. Step 4: Simplify right side
    634,316x = 904,914,612,900
  5. Step 5: Solve for x
    x = 904,914,612,900/634,316
  6. Step 6: Final answer
    x = 1,426,599.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.