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Finding the Third Proportional to 929,982 and 1,316,286

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Solution

The third proportional to 929,982 and 1,316,286 is: 1,863,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,982 : 1,316,286 = 1,316,286 : x
  2. Step 2: Convert to fraction form
    929,982/1,316,286 = 1,316,286/x
  3. Step 3: Cross multiply
    929,982x = 1,316,286 × 1,316,286
  4. Step 4: Simplify right side
    929,982x = 1,732,608,833,796
  5. Step 5: Solve for x
    x = 1,732,608,833,796/929,982
  6. Step 6: Final answer
    x = 1,863,056.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.