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Finding the Third Proportional to 970,941 and 1,456,411

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Solution

The third proportional to 970,941 and 1,456,411 is: 2,184,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,941 : 1,456,411 = 1,456,411 : x
  2. Step 2: Convert to fraction form
    970,941/1,456,411 = 1,456,411/x
  3. Step 3: Cross multiply
    970,941x = 1,456,411 × 1,456,411
  4. Step 4: Simplify right side
    970,941x = 2,121,133,000,921
  5. Step 5: Solve for x
    x = 2,121,133,000,921/970,941
  6. Step 6: Final answer
    x = 2,184,615.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.