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Finding the Third Proportional to 970,858 and 2,128,340

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Solution

The third proportional to 970,858 and 2,128,340 is: 4,665,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,858 : 2,128,340 = 2,128,340 : x
  2. Step 2: Convert to fraction form
    970,858/2,128,340 = 2,128,340/x
  3. Step 3: Cross multiply
    970,858x = 2,128,340 × 2,128,340
  4. Step 4: Simplify right side
    970,858x = 4,529,831,155,600
  5. Step 5: Solve for x
    x = 4,529,831,155,600/970,858
  6. Step 6: Final answer
    x = 4,665,801.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.