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Finding the Third Proportional to 1,023,762 and 1,509,399

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Solution

The third proportional to 1,023,762 and 1,509,399 is: 2,225,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,762 : 1,509,399 = 1,509,399 : x
  2. Step 2: Convert to fraction form
    1,023,762/1,509,399 = 1,509,399/x
  3. Step 3: Cross multiply
    1,023,762x = 1,509,399 × 1,509,399
  4. Step 4: Simplify right side
    1,023,762x = 2,278,285,341,201
  5. Step 5: Solve for x
    x = 2,278,285,341,201/1,023,762
  6. Step 6: Final answer
    x = 2,225,405.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.