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Finding the Third Proportional to 734,528 and 1,134,192

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Solution

The third proportional to 734,528 and 1,134,192 is: 1,751,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,528 : 1,134,192 = 1,134,192 : x
  2. Step 2: Convert to fraction form
    734,528/1,134,192 = 1,134,192/x
  3. Step 3: Cross multiply
    734,528x = 1,134,192 × 1,134,192
  4. Step 4: Simplify right side
    734,528x = 1,286,391,492,864
  5. Step 5: Solve for x
    x = 1,286,391,492,864/734,528
  6. Step 6: Final answer
    x = 1,751,317.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.