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Finding the Third Proportional to 480,778 and 1,028,259

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Solution

The third proportional to 480,778 and 1,028,259 is: 2,199,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,778 : 1,028,259 = 1,028,259 : x
  2. Step 2: Convert to fraction form
    480,778/1,028,259 = 1,028,259/x
  3. Step 3: Cross multiply
    480,778x = 1,028,259 × 1,028,259
  4. Step 4: Simplify right side
    480,778x = 1,057,316,571,081
  5. Step 5: Solve for x
    x = 1,057,316,571,081/480,778
  6. Step 6: Final answer
    x = 2,199,178.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.