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Finding the Third Proportional to 1,010,664 and 1,514,436.75

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Solution

The third proportional to 1,010,664 and 1,514,436.75 is: 2,269,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,664 : 1,514,436.75 = 1,514,436.75 : x
  2. Step 2: Convert to fraction form
    1,010,664/1,514,436.75 = 1,514,436.75/x
  3. Step 3: Cross multiply
    1,010,664x = 1,514,436.75 × 1,514,436.75
  4. Step 4: Simplify right side
    1,010,664x = 2,293,518,669,750.56
  5. Step 5: Solve for x
    x = 2,293,518,669,750.56/1,010,664
  6. Step 6: Final answer
    x = 2,269,318.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.