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Finding the Third Proportional to 453,624 and 976,582

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Solution

The third proportional to 453,624 and 976,582 is: 2,102,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,624 : 976,582 = 976,582 : x
  2. Step 2: Convert to fraction form
    453,624/976,582 = 976,582/x
  3. Step 3: Cross multiply
    453,624x = 976,582 × 976,582
  4. Step 4: Simplify right side
    453,624x = 953,712,402,724
  5. Step 5: Solve for x
    x = 953,712,402,724/453,624
  6. Step 6: Final answer
    x = 2,102,429.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.