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Finding the Third Proportional to 526,322 and 1,142,068

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Solution

The third proportional to 526,322 and 1,142,068 is: 2,478,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,322 : 1,142,068 = 1,142,068 : x
  2. Step 2: Convert to fraction form
    526,322/1,142,068 = 1,142,068/x
  3. Step 3: Cross multiply
    526,322x = 1,142,068 × 1,142,068
  4. Step 4: Simplify right side
    526,322x = 1,304,319,316,624
  5. Step 5: Solve for x
    x = 1,304,319,316,624/526,322
  6. Step 6: Final answer
    x = 2,478,177.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.