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Finding the Third Proportional to 753,420 and 1,778,182

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Solution

The third proportional to 753,420 and 1,778,182 is: 4,196,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,420 : 1,778,182 = 1,778,182 : x
  2. Step 2: Convert to fraction form
    753,420/1,778,182 = 1,778,182/x
  3. Step 3: Cross multiply
    753,420x = 1,778,182 × 1,778,182
  4. Step 4: Simplify right side
    753,420x = 3,161,931,225,124
  5. Step 5: Solve for x
    x = 3,161,931,225,124/753,420
  6. Step 6: Final answer
    x = 4,196,771.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.