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Finding the Third Proportional to 946,440 and 1,418,202

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Solution

The third proportional to 946,440 and 1,418,202 is: 2,125,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,440 : 1,418,202 = 1,418,202 : x
  2. Step 2: Convert to fraction form
    946,440/1,418,202 = 1,418,202/x
  3. Step 3: Cross multiply
    946,440x = 1,418,202 × 1,418,202
  4. Step 4: Simplify right side
    946,440x = 2,011,296,912,804
  5. Step 5: Solve for x
    x = 2,011,296,912,804/946,440
  6. Step 6: Final answer
    x = 2,125,118.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.