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Finding the Third Proportional to 1,651,506.50 and 2,413,530

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Solution

The third proportional to 1,651,506.50 and 2,413,530 is: 3,527,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,506.50 : 2,413,530 = 2,413,530 : x
  2. Step 2: Convert to fraction form
    1,651,506.50/2,413,530 = 2,413,530/x
  3. Step 3: Cross multiply
    1,651,506.50x = 2,413,530 × 2,413,530
  4. Step 4: Simplify right side
    1,651,506.50x = 5,825,127,060,900
  5. Step 5: Solve for x
    x = 5,825,127,060,900/1,651,506.50
  6. Step 6: Final answer
    x = 3,527,159.63

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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.