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Finding the Third Proportional to 581,494 and 1,232,046

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Solution

The third proportional to 581,494 and 1,232,046 is: 2,610,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,494 : 1,232,046 = 1,232,046 : x
  2. Step 2: Convert to fraction form
    581,494/1,232,046 = 1,232,046/x
  3. Step 3: Cross multiply
    581,494x = 1,232,046 × 1,232,046
  4. Step 4: Simplify right side
    581,494x = 1,517,937,346,116
  5. Step 5: Solve for x
    x = 1,517,937,346,116/581,494
  6. Step 6: Final answer
    x = 2,610,409.30

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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.