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Finding the Third Proportional to 532,402 and 1,154,634

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Solution

The third proportional to 532,402 and 1,154,634 is: 2,504,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,402 : 1,154,634 = 1,154,634 : x
  2. Step 2: Convert to fraction form
    532,402/1,154,634 = 1,154,634/x
  3. Step 3: Cross multiply
    532,402x = 1,154,634 × 1,154,634
  4. Step 4: Simplify right side
    532,402x = 1,333,179,673,956
  5. Step 5: Solve for x
    x = 1,333,179,673,956/532,402
  6. Step 6: Final answer
    x = 2,504,084.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.