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Finding the Third Proportional to 480,836 and 1,028,377

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Solution

The third proportional to 480,836 and 1,028,377 is: 2,199,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,836 : 1,028,377 = 1,028,377 : x
  2. Step 2: Convert to fraction form
    480,836/1,028,377 = 1,028,377/x
  3. Step 3: Cross multiply
    480,836x = 1,028,377 × 1,028,377
  4. Step 4: Simplify right side
    480,836x = 1,057,559,254,129
  5. Step 5: Solve for x
    x = 1,057,559,254,129/480,836
  6. Step 6: Final answer
    x = 2,199,417.79

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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.