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Finding the Third Proportional to 526,202 and 1,117,994

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Solution

The third proportional to 526,202 and 1,117,994 is: 2,375,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,202 : 1,117,994 = 1,117,994 : x
  2. Step 2: Convert to fraction form
    526,202/1,117,994 = 1,117,994/x
  3. Step 3: Cross multiply
    526,202x = 1,117,994 × 1,117,994
  4. Step 4: Simplify right side
    526,202x = 1,249,910,584,036
  5. Step 5: Solve for x
    x = 1,249,910,584,036/526,202
  6. Step 6: Final answer
    x = 2,375,343.66

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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.