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Finding the Third Proportional to 529,710 and 1,158,450

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Solution

The third proportional to 529,710 and 1,158,450 is: 2,533,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,710 : 1,158,450 = 1,158,450 : x
  2. Step 2: Convert to fraction form
    529,710/1,158,450 = 1,158,450/x
  3. Step 3: Cross multiply
    529,710x = 1,158,450 × 1,158,450
  4. Step 4: Simplify right side
    529,710x = 1,342,006,402,500
  5. Step 5: Solve for x
    x = 1,342,006,402,500/529,710
  6. Step 6: Final answer
    x = 2,533,473.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.