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Finding the Third Proportional to 537,856 and 1,146,368

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Solution

The third proportional to 537,856 and 1,146,368 is: 2,443,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,856 : 1,146,368 = 1,146,368 : x
  2. Step 2: Convert to fraction form
    537,856/1,146,368 = 1,146,368/x
  3. Step 3: Cross multiply
    537,856x = 1,146,368 × 1,146,368
  4. Step 4: Simplify right side
    537,856x = 1,314,159,591,424
  5. Step 5: Solve for x
    x = 1,314,159,591,424/537,856
  6. Step 6: Final answer
    x = 2,443,329.80

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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.