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Finding the Third Proportional to 1,131,574 and 1,537,692

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Solution

The third proportional to 1,131,574 and 1,537,692 is: 2,089,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131,574 : 1,537,692 = 1,537,692 : x
  2. Step 2: Convert to fraction form
    1,131,574/1,537,692 = 1,537,692/x
  3. Step 3: Cross multiply
    1,131,574x = 1,537,692 × 1,537,692
  4. Step 4: Simplify right side
    1,131,574x = 2,364,496,686,864
  5. Step 5: Solve for x
    x = 2,364,496,686,864/1,131,574
  6. Step 6: Final answer
    x = 2,089,564.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.