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Finding the Third Proportional to 581,480 and 1,232,004

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Solution

The third proportional to 581,480 and 1,232,004 is: 2,610,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,480 : 1,232,004 = 1,232,004 : x
  2. Step 2: Convert to fraction form
    581,480/1,232,004 = 1,232,004/x
  3. Step 3: Cross multiply
    581,480x = 1,232,004 × 1,232,004
  4. Step 4: Simplify right side
    581,480x = 1,517,833,856,016
  5. Step 5: Solve for x
    x = 1,517,833,856,016/581,480
  6. Step 6: Final answer
    x = 2,610,294.17

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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.