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Finding the Third Proportional to 581,490 and 1,232,025

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Solution

The third proportional to 581,490 and 1,232,025 is: 2,610,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,490 : 1,232,025 = 1,232,025 : x
  2. Step 2: Convert to fraction form
    581,490/1,232,025 = 1,232,025/x
  3. Step 3: Cross multiply
    581,490x = 1,232,025 × 1,232,025
  4. Step 4: Simplify right side
    581,490x = 1,517,885,600,625
  5. Step 5: Solve for x
    x = 1,517,885,600,625/581,490
  6. Step 6: Final answer
    x = 2,610,338.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.