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Finding the Third Proportional to 1,537,164 and 2,297,276

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Solution

The third proportional to 1,537,164 and 2,297,276 is: 3,433,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,164 : 2,297,276 = 2,297,276 : x
  2. Step 2: Convert to fraction form
    1,537,164/2,297,276 = 2,297,276/x
  3. Step 3: Cross multiply
    1,537,164x = 2,297,276 × 2,297,276
  4. Step 4: Simplify right side
    1,537,164x = 5,277,477,020,176
  5. Step 5: Solve for x
    x = 5,277,477,020,176/1,537,164
  6. Step 6: Final answer
    x = 3,433,255.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.