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Finding the Third Proportional to 442,050 and 965,070

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Solution

The third proportional to 442,050 and 965,070 is: 2,106,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,050 : 965,070 = 965,070 : x
  2. Step 2: Convert to fraction form
    442,050/965,070 = 965,070/x
  3. Step 3: Cross multiply
    442,050x = 965,070 × 965,070
  4. Step 4: Simplify right side
    442,050x = 931,360,104,900
  5. Step 5: Solve for x
    x = 931,360,104,900/442,050
  6. Step 6: Final answer
    x = 2,106,911.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.