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Finding the Third Proportional to 1,537,617.94 and 3,365,013.38

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Solution

The third proportional to 1,537,617.94 and 3,365,013.38 is: 7,364,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,617.94 : 3,365,013.38 = 3,365,013.38 : x
  2. Step 2: Convert to fraction form
    1,537,617.94/3,365,013.38 = 3,365,013.38/x
  3. Step 3: Cross multiply
    1,537,617.94x = 3,365,013.38 × 3,365,013.38
  4. Step 4: Simplify right side
    1,537,617.94x = 11,323,315,013,928.89
  5. Step 5: Solve for x
    x = 11,323,315,013,928.89/1,537,617.94
  6. Step 6: Final answer
    x = 7,364,192.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.