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Finding the Third Proportional to 637,957.69 and 1,010,665.69

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Solution

The third proportional to 637,957.69 and 1,010,665.69 is: 1,601,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,957.69 : 1,010,665.69 = 1,010,665.69 : x
  2. Step 2: Convert to fraction form
    637,957.69/1,010,665.69 = 1,010,665.69/x
  3. Step 3: Cross multiply
    637,957.69x = 1,010,665.69 × 1,010,665.69
  4. Step 4: Simplify right side
    637,957.69x = 1,021,445,131,889.85
  5. Step 5: Solve for x
    x = 1,021,445,131,889.85/637,957.69
  6. Step 6: Final answer
    x = 1,601,117.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.