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Finding the Third Proportional to 537,819 and 1,146,294

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Solution

The third proportional to 537,819 and 1,146,294 is: 2,443,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,819 : 1,146,294 = 1,146,294 : x
  2. Step 2: Convert to fraction form
    537,819/1,146,294 = 1,146,294/x
  3. Step 3: Cross multiply
    537,819x = 1,146,294 × 1,146,294
  4. Step 4: Simplify right side
    537,819x = 1,313,989,934,436
  5. Step 5: Solve for x
    x = 1,313,989,934,436/537,819
  6. Step 6: Final answer
    x = 2,443,182.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.