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Finding the Third Proportional to 768,184 and 1,106,520

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Solution

The third proportional to 768,184 and 1,106,520 is: 1,593,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,184 : 1,106,520 = 1,106,520 : x
  2. Step 2: Convert to fraction form
    768,184/1,106,520 = 1,106,520/x
  3. Step 3: Cross multiply
    768,184x = 1,106,520 × 1,106,520
  4. Step 4: Simplify right side
    768,184x = 1,224,386,510,400
  5. Step 5: Solve for x
    x = 1,224,386,510,400/768,184
  6. Step 6: Final answer
    x = 1,593,871.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.