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Finding the Third Proportional to 442,046 and 965,062

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Solution

The third proportional to 442,046 and 965,062 is: 2,106,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,046 : 965,062 = 965,062 : x
  2. Step 2: Convert to fraction form
    442,046/965,062 = 965,062/x
  3. Step 3: Cross multiply
    442,046x = 965,062 × 965,062
  4. Step 4: Simplify right side
    442,046x = 931,344,663,844
  5. Step 5: Solve for x
    x = 931,344,663,844/442,046
  6. Step 6: Final answer
    x = 2,106,895.35

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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.