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Finding the Third Proportional to 1,072,688 and 2,234,368

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Solution

The third proportional to 1,072,688 and 2,234,368 is: 4,654,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,688 : 2,234,368 = 2,234,368 : x
  2. Step 2: Convert to fraction form
    1,072,688/2,234,368 = 2,234,368/x
  3. Step 3: Cross multiply
    1,072,688x = 2,234,368 × 2,234,368
  4. Step 4: Simplify right side
    1,072,688x = 4,992,400,359,424
  5. Step 5: Solve for x
    x = 4,992,400,359,424/1,072,688
  6. Step 6: Final answer
    x = 4,654,102.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.