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Finding the Third Proportional to 702,134 and 1,028,207

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Solution

The third proportional to 702,134 and 1,028,207 is: 1,505,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,134 : 1,028,207 = 1,028,207 : x
  2. Step 2: Convert to fraction form
    702,134/1,028,207 = 1,028,207/x
  3. Step 3: Cross multiply
    702,134x = 1,028,207 × 1,028,207
  4. Step 4: Simplify right side
    702,134x = 1,057,209,634,849
  5. Step 5: Solve for x
    x = 1,057,209,634,849/702,134
  6. Step 6: Final answer
    x = 1,505,709.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.