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Finding the Third Proportional to 780,518 and 1,176,933

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Solution

The third proportional to 780,518 and 1,176,933 is: 1,774,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,518 : 1,176,933 = 1,176,933 : x
  2. Step 2: Convert to fraction form
    780,518/1,176,933 = 1,176,933/x
  3. Step 3: Cross multiply
    780,518x = 1,176,933 × 1,176,933
  4. Step 4: Simplify right side
    780,518x = 1,385,171,286,489
  5. Step 5: Solve for x
    x = 1,385,171,286,489/780,518
  6. Step 6: Final answer
    x = 1,774,682.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.