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Finding the Third Proportional to 450,772 and 976,712

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Solution

The third proportional to 450,772 and 976,712 is: 2,116,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,772 : 976,712 = 976,712 : x
  2. Step 2: Convert to fraction form
    450,772/976,712 = 976,712/x
  3. Step 3: Cross multiply
    450,772x = 976,712 × 976,712
  4. Step 4: Simplify right side
    450,772x = 953,966,330,944
  5. Step 5: Solve for x
    x = 953,966,330,944/450,772
  6. Step 6: Final answer
    x = 2,116,294.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.