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Finding the Third Proportional to 526,297 and 1,157,570

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Solution

The third proportional to 526,297 and 1,157,570 is: 2,546,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,297 : 1,157,570 = 1,157,570 : x
  2. Step 2: Convert to fraction form
    526,297/1,157,570 = 1,157,570/x
  3. Step 3: Cross multiply
    526,297x = 1,157,570 × 1,157,570
  4. Step 4: Simplify right side
    526,297x = 1,339,968,304,900
  5. Step 5: Solve for x
    x = 1,339,968,304,900/526,297
  6. Step 6: Final answer
    x = 2,546,030.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.