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Finding the Third Proportional to 678,964 and 1,488,500

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Solution

The third proportional to 678,964 and 1,488,500 is: 3,263,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,964 : 1,488,500 = 1,488,500 : x
  2. Step 2: Convert to fraction form
    678,964/1,488,500 = 1,488,500/x
  3. Step 3: Cross multiply
    678,964x = 1,488,500 × 1,488,500
  4. Step 4: Simplify right side
    678,964x = 2,215,632,250,000
  5. Step 5: Solve for x
    x = 2,215,632,250,000/678,964
  6. Step 6: Final answer
    x = 3,263,254.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.