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Finding the Third Proportional to 763,176 and 1,678,560

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Solution

The third proportional to 763,176 and 1,678,560 is: 3,691,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,176 : 1,678,560 = 1,678,560 : x
  2. Step 2: Convert to fraction form
    763,176/1,678,560 = 1,678,560/x
  3. Step 3: Cross multiply
    763,176x = 1,678,560 × 1,678,560
  4. Step 4: Simplify right side
    763,176x = 2,817,563,673,600
  5. Step 5: Solve for x
    x = 2,817,563,673,600/763,176
  6. Step 6: Final answer
    x = 3,691,892.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.