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Finding the Third Proportional to 935,140 and 1,337,154

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Solution

The third proportional to 935,140 and 1,337,154 is: 1,911,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,140 : 1,337,154 = 1,337,154 : x
  2. Step 2: Convert to fraction form
    935,140/1,337,154 = 1,337,154/x
  3. Step 3: Cross multiply
    935,140x = 1,337,154 × 1,337,154
  4. Step 4: Simplify right side
    935,140x = 1,787,980,819,716
  5. Step 5: Solve for x
    x = 1,787,980,819,716/935,140
  6. Step 6: Final answer
    x = 1,911,992.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.