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Finding the Third Proportional to 970,865 and 2,128,354

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Solution

The third proportional to 970,865 and 2,128,354 is: 4,665,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,865 : 2,128,354 = 2,128,354 : x
  2. Step 2: Convert to fraction form
    970,865/2,128,354 = 2,128,354/x
  3. Step 3: Cross multiply
    970,865x = 2,128,354 × 2,128,354
  4. Step 4: Simplify right side
    970,865x = 4,529,890,749,316
  5. Step 5: Solve for x
    x = 4,529,890,749,316/970,865
  6. Step 6: Final answer
    x = 4,665,829.70

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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.