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Finding the Third Proportional to 599,038 and 1,303,050

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Solution

The third proportional to 599,038 and 1,303,050 is: 2,834,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,038 : 1,303,050 = 1,303,050 : x
  2. Step 2: Convert to fraction form
    599,038/1,303,050 = 1,303,050/x
  3. Step 3: Cross multiply
    599,038x = 1,303,050 × 1,303,050
  4. Step 4: Simplify right side
    599,038x = 1,697,939,302,500
  5. Step 5: Solve for x
    x = 1,697,939,302,500/599,038
  6. Step 6: Final answer
    x = 2,834,443.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.