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Finding the Third Proportional to 935,533 and 1,303,433

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Solution

The third proportional to 935,533 and 1,303,433 is: 1,816,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,533 : 1,303,433 = 1,303,433 : x
  2. Step 2: Convert to fraction form
    935,533/1,303,433 = 1,303,433/x
  3. Step 3: Cross multiply
    935,533x = 1,303,433 × 1,303,433
  4. Step 4: Simplify right side
    935,533x = 1,698,937,585,489
  5. Step 5: Solve for x
    x = 1,698,937,585,489/935,533
  6. Step 6: Final answer
    x = 1,816,010.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.