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Finding the Third Proportional to 460,698 and 1,006,500

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Solution

The third proportional to 460,698 and 1,006,500 is: 2,198,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,698 : 1,006,500 = 1,006,500 : x
  2. Step 2: Convert to fraction form
    460,698/1,006,500 = 1,006,500/x
  3. Step 3: Cross multiply
    460,698x = 1,006,500 × 1,006,500
  4. Step 4: Simplify right side
    460,698x = 1,013,042,250,000
  5. Step 5: Solve for x
    x = 1,013,042,250,000/460,698
  6. Step 6: Final answer
    x = 2,198,929.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.