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Finding the Third Proportional to 530,972 and 1,146,470

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Solution

The third proportional to 530,972 and 1,146,470 is: 2,475,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,972 : 1,146,470 = 1,146,470 : x
  2. Step 2: Convert to fraction form
    530,972/1,146,470 = 1,146,470/x
  3. Step 3: Cross multiply
    530,972x = 1,146,470 × 1,146,470
  4. Step 4: Simplify right side
    530,972x = 1,314,393,460,900
  5. Step 5: Solve for x
    x = 1,314,393,460,900/530,972
  6. Step 6: Final answer
    x = 2,475,447.78

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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.