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Finding the Third Proportional to 670,512 and 1,446,000

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Solution

The third proportional to 670,512 and 1,446,000 is: 3,118,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,512 : 1,446,000 = 1,446,000 : x
  2. Step 2: Convert to fraction form
    670,512/1,446,000 = 1,446,000/x
  3. Step 3: Cross multiply
    670,512x = 1,446,000 × 1,446,000
  4. Step 4: Simplify right side
    670,512x = 2,090,916,000,000
  5. Step 5: Solve for x
    x = 2,090,916,000,000/670,512
  6. Step 6: Final answer
    x = 3,118,387.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.