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Finding the Third Proportional to 581,664 and 1,233,648

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Solution

The third proportional to 581,664 and 1,233,648 is: 2,616,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,664 : 1,233,648 = 1,233,648 : x
  2. Step 2: Convert to fraction form
    581,664/1,233,648 = 1,233,648/x
  3. Step 3: Cross multiply
    581,664x = 1,233,648 × 1,233,648
  4. Step 4: Simplify right side
    581,664x = 1,521,887,387,904
  5. Step 5: Solve for x
    x = 1,521,887,387,904/581,664
  6. Step 6: Final answer
    x = 2,616,437.30

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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.