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Finding the Third Proportional to 530,074 and 1,153,460

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Solution

The third proportional to 530,074 and 1,153,460 is: 2,509,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,074 : 1,153,460 = 1,153,460 : x
  2. Step 2: Convert to fraction form
    530,074/1,153,460 = 1,153,460/x
  3. Step 3: Cross multiply
    530,074x = 1,153,460 × 1,153,460
  4. Step 4: Simplify right side
    530,074x = 1,330,469,971,600
  5. Step 5: Solve for x
    x = 1,330,469,971,600/530,074
  6. Step 6: Final answer
    x = 2,509,970.25

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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.