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Finding the Third Proportional to 937,286 and 1,419,076

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Solution

The third proportional to 937,286 and 1,419,076 is: 2,148,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,286 : 1,419,076 = 1,419,076 : x
  2. Step 2: Convert to fraction form
    937,286/1,419,076 = 1,419,076/x
  3. Step 3: Cross multiply
    937,286x = 1,419,076 × 1,419,076
  4. Step 4: Simplify right side
    937,286x = 2,013,776,693,776
  5. Step 5: Solve for x
    x = 2,013,776,693,776/937,286
  6. Step 6: Final answer
    x = 2,148,518.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.