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Finding the Third Proportional to 669,505 and 1,034,411

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Solution

The third proportional to 669,505 and 1,034,411 is: 1,598,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,505 : 1,034,411 = 1,034,411 : x
  2. Step 2: Convert to fraction form
    669,505/1,034,411 = 1,034,411/x
  3. Step 3: Cross multiply
    669,505x = 1,034,411 × 1,034,411
  4. Step 4: Simplify right side
    669,505x = 1,070,006,116,921
  5. Step 5: Solve for x
    x = 1,070,006,116,921/669,505
  6. Step 6: Final answer
    x = 1,598,204.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.