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Finding the Third Proportional to 526,755 and 1,133,403

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Solution

The third proportional to 526,755 and 1,133,403 is: 2,438,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,755 : 1,133,403 = 1,133,403 : x
  2. Step 2: Convert to fraction form
    526,755/1,133,403 = 1,133,403/x
  3. Step 3: Cross multiply
    526,755x = 1,133,403 × 1,133,403
  4. Step 4: Simplify right side
    526,755x = 1,284,602,360,409
  5. Step 5: Solve for x
    x = 1,284,602,360,409/526,755
  6. Step 6: Final answer
    x = 2,438,709.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.