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Finding the Third Proportional to 1,020,240 and 1,525,029.75

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Solution

The third proportional to 1,020,240 and 1,525,029.75 is: 2,279,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,240 : 1,525,029.75 = 1,525,029.75 : x
  2. Step 2: Convert to fraction form
    1,020,240/1,525,029.75 = 1,525,029.75/x
  3. Step 3: Cross multiply
    1,020,240x = 1,525,029.75 × 1,525,029.75
  4. Step 4: Simplify right side
    1,020,240x = 2,325,715,738,385.06
  5. Step 5: Solve for x
    x = 2,325,715,738,385.06/1,020,240
  6. Step 6: Final answer
    x = 2,279,577.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.