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Finding the Third Proportional to 935,814 and 1,487,712

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Solution

The third proportional to 935,814 and 1,487,712 is: 2,365,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,814 : 1,487,712 = 1,487,712 : x
  2. Step 2: Convert to fraction form
    935,814/1,487,712 = 1,487,712/x
  3. Step 3: Cross multiply
    935,814x = 1,487,712 × 1,487,712
  4. Step 4: Simplify right side
    935,814x = 2,213,286,994,944
  5. Step 5: Solve for x
    x = 2,213,286,994,944/935,814
  6. Step 6: Final answer
    x = 2,365,092.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.