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Finding the Third Proportional to 600,128 and 1,303,288

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Solution

The third proportional to 600,128 and 1,303,288 is: 2,830,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,128 : 1,303,288 = 1,303,288 : x
  2. Step 2: Convert to fraction form
    600,128/1,303,288 = 1,303,288/x
  3. Step 3: Cross multiply
    600,128x = 1,303,288 × 1,303,288
  4. Step 4: Simplify right side
    600,128x = 1,698,559,610,944
  5. Step 5: Solve for x
    x = 1,698,559,610,944/600,128
  6. Step 6: Final answer
    x = 2,830,328.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.