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Finding the Third Proportional to 442,178 and 947,444

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Solution

The third proportional to 442,178 and 947,444 is: 2,030,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,178 : 947,444 = 947,444 : x
  2. Step 2: Convert to fraction form
    442,178/947,444 = 947,444/x
  3. Step 3: Cross multiply
    442,178x = 947,444 × 947,444
  4. Step 4: Simplify right side
    442,178x = 897,650,133,136
  5. Step 5: Solve for x
    x = 897,650,133,136/442,178
  6. Step 6: Final answer
    x = 2,030,065.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.