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Finding the Third Proportional to 914,526 and 1,233,648

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Solution

The third proportional to 914,526 and 1,233,648 is: 1,664,126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,526 : 1,233,648 = 1,233,648 : x
  2. Step 2: Convert to fraction form
    914,526/1,233,648 = 1,233,648/x
  3. Step 3: Cross multiply
    914,526x = 1,233,648 × 1,233,648
  4. Step 4: Simplify right side
    914,526x = 1,521,887,387,904
  5. Step 5: Solve for x
    x = 1,521,887,387,904/914,526
  6. Step 6: Final answer
    x = 1,664,126.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.