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Finding the Third Proportional to 526,800 and 1,116,294

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Solution

The third proportional to 526,800 and 1,116,294 is: 2,365,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,800 : 1,116,294 = 1,116,294 : x
  2. Step 2: Convert to fraction form
    526,800/1,116,294 = 1,116,294/x
  3. Step 3: Cross multiply
    526,800x = 1,116,294 × 1,116,294
  4. Step 4: Simplify right side
    526,800x = 1,246,112,294,436
  5. Step 5: Solve for x
    x = 1,246,112,294,436/526,800
  6. Step 6: Final answer
    x = 2,365,437.16

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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.