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Finding the Third Proportional to 530,833 and 1,154,974.50

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Solution

The third proportional to 530,833 and 1,154,974.50 is: 2,512,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,833 : 1,154,974.50 = 1,154,974.50 : x
  2. Step 2: Convert to fraction form
    530,833/1,154,974.50 = 1,154,974.50/x
  3. Step 3: Cross multiply
    530,833x = 1,154,974.50 × 1,154,974.50
  4. Step 4: Simplify right side
    530,833x = 1,333,966,095,650.25
  5. Step 5: Solve for x
    x = 1,333,966,095,650.25/530,833
  6. Step 6: Final answer
    x = 2,512,967.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.