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Finding the Third Proportional to 450,774 and 976,716

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Solution

The third proportional to 450,774 and 976,716 is: 2,116,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,774 : 976,716 = 976,716 : x
  2. Step 2: Convert to fraction form
    450,774/976,716 = 976,716/x
  3. Step 3: Cross multiply
    450,774x = 976,716 × 976,716
  4. Step 4: Simplify right side
    450,774x = 953,974,144,656
  5. Step 5: Solve for x
    x = 953,974,144,656/450,774
  6. Step 6: Final answer
    x = 2,116,302.50

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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.