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Finding the Third Proportional to 530,976 and 1,146,396

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Solution

The third proportional to 530,976 and 1,146,396 is: 2,475,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,976 : 1,146,396 = 1,146,396 : x
  2. Step 2: Convert to fraction form
    530,976/1,146,396 = 1,146,396/x
  3. Step 3: Cross multiply
    530,976x = 1,146,396 × 1,146,396
  4. Step 4: Simplify right side
    530,976x = 1,314,223,788,816
  5. Step 5: Solve for x
    x = 1,314,223,788,816/530,976
  6. Step 6: Final answer
    x = 2,475,109.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.