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Finding the Third Proportional to 526,186 and 1,141,076

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Solution

The third proportional to 526,186 and 1,141,076 is: 2,474,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,186 : 1,141,076 = 1,141,076 : x
  2. Step 2: Convert to fraction form
    526,186/1,141,076 = 1,141,076/x
  3. Step 3: Cross multiply
    526,186x = 1,141,076 × 1,141,076
  4. Step 4: Simplify right side
    526,186x = 1,302,054,437,776
  5. Step 5: Solve for x
    x = 1,302,054,437,776/526,186
  6. Step 6: Final answer
    x = 2,474,513.65

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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.