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Finding the Third Proportional to 970,983 and 1,486,043

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Solution

The third proportional to 970,983 and 1,486,043 is: 2,274,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,983 : 1,486,043 = 1,486,043 : x
  2. Step 2: Convert to fraction form
    970,983/1,486,043 = 1,486,043/x
  3. Step 3: Cross multiply
    970,983x = 1,486,043 × 1,486,043
  4. Step 4: Simplify right side
    970,983x = 2,208,323,797,849
  5. Step 5: Solve for x
    x = 2,208,323,797,849/970,983
  6. Step 6: Final answer
    x = 2,274,317.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.