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Finding the Third Proportional to 545,696 and 1,286,368

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Solution

The third proportional to 545,696 and 1,286,368 is: 3,032,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,696 : 1,286,368 = 1,286,368 : x
  2. Step 2: Convert to fraction form
    545,696/1,286,368 = 1,286,368/x
  3. Step 3: Cross multiply
    545,696x = 1,286,368 × 1,286,368
  4. Step 4: Simplify right side
    545,696x = 1,654,742,631,424
  5. Step 5: Solve for x
    x = 1,654,742,631,424/545,696
  6. Step 6: Final answer
    x = 3,032,352.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.