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Finding the Third Proportional to 1,002,010.92 and 1,511,582.13

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Solution

The third proportional to 1,002,010.92 and 1,511,582.13 is: 2,280,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,010.92 : 1,511,582.13 = 1,511,582.13 : x
  2. Step 2: Convert to fraction form
    1,002,010.92/1,511,582.13 = 1,511,582.13/x
  3. Step 3: Cross multiply
    1,002,010.92x = 1,511,582.13 × 1,511,582.13
  4. Step 4: Simplify right side
    1,002,010.92x = 2,284,880,544,237.99
  5. Step 5: Solve for x
    x = 2,284,880,544,237.99/1,002,010.92
  6. Step 6: Final answer
    x = 2,280,295.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.