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Finding the Third Proportional to 1,024,075.50 and 1,475,145

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Solution

The third proportional to 1,024,075.50 and 1,475,145 is: 2,124,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,075.50 : 1,475,145 = 1,475,145 : x
  2. Step 2: Convert to fraction form
    1,024,075.50/1,475,145 = 1,475,145/x
  3. Step 3: Cross multiply
    1,024,075.50x = 1,475,145 × 1,475,145
  4. Step 4: Simplify right side
    1,024,075.50x = 2,176,052,771,025
  5. Step 5: Solve for x
    x = 2,176,052,771,025/1,024,075.50
  6. Step 6: Final answer
    x = 2,124,894.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.