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Finding the Third Proportional to 591,075 and 936,095

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Solution

The third proportional to 591,075 and 936,095 is: 1,482,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,075 : 936,095 = 936,095 : x
  2. Step 2: Convert to fraction form
    591,075/936,095 = 936,095/x
  3. Step 3: Cross multiply
    591,075x = 936,095 × 936,095
  4. Step 4: Simplify right side
    591,075x = 876,273,849,025
  5. Step 5: Solve for x
    x = 876,273,849,025/591,075
  6. Step 6: Final answer
    x = 1,482,508.73

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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.