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Finding the Third Proportional to 526,041 and 1,117,692

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Solution

The third proportional to 526,041 and 1,117,692 is: 2,374,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,041 : 1,117,692 = 1,117,692 : x
  2. Step 2: Convert to fraction form
    526,041/1,117,692 = 1,117,692/x
  3. Step 3: Cross multiply
    526,041x = 1,117,692 × 1,117,692
  4. Step 4: Simplify right side
    526,041x = 1,249,235,406,864
  5. Step 5: Solve for x
    x = 1,249,235,406,864/526,041
  6. Step 6: Final answer
    x = 2,374,787.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.