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Finding the Third Proportional to 772,454 and 1,131,028

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Solution

The third proportional to 772,454 and 1,131,028 is: 1,656,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,454 : 1,131,028 = 1,131,028 : x
  2. Step 2: Convert to fraction form
    772,454/1,131,028 = 1,131,028/x
  3. Step 3: Cross multiply
    772,454x = 1,131,028 × 1,131,028
  4. Step 4: Simplify right side
    772,454x = 1,279,224,336,784
  5. Step 5: Solve for x
    x = 1,279,224,336,784/772,454
  6. Step 6: Final answer
    x = 1,656,052.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.