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Finding the Third Proportional to 450,446 and 970,712

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Solution

The third proportional to 450,446 and 970,712 is: 2,091,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,446 : 970,712 = 970,712 : x
  2. Step 2: Convert to fraction form
    450,446/970,712 = 970,712/x
  3. Step 3: Cross multiply
    450,446x = 970,712 × 970,712
  4. Step 4: Simplify right side
    450,446x = 942,281,786,944
  5. Step 5: Solve for x
    x = 942,281,786,944/450,446
  6. Step 6: Final answer
    x = 2,091,886.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.