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Finding the Third Proportional to 758,916 and 1,134,270

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Solution

The third proportional to 758,916 and 1,134,270 is: 1,695,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,916 : 1,134,270 = 1,134,270 : x
  2. Step 2: Convert to fraction form
    758,916/1,134,270 = 1,134,270/x
  3. Step 3: Cross multiply
    758,916x = 1,134,270 × 1,134,270
  4. Step 4: Simplify right side
    758,916x = 1,286,568,432,900
  5. Step 5: Solve for x
    x = 1,286,568,432,900/758,916
  6. Step 6: Final answer
    x = 1,695,271.19

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Why These Related Problems?

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