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Finding the Third Proportional to 663,012 and 1,447,470

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Solution

The third proportional to 663,012 and 1,447,470 is: 3,160,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,012 : 1,447,470 = 1,447,470 : x
  2. Step 2: Convert to fraction form
    663,012/1,447,470 = 1,447,470/x
  3. Step 3: Cross multiply
    663,012x = 1,447,470 × 1,447,470
  4. Step 4: Simplify right side
    663,012x = 2,095,169,400,900
  5. Step 5: Solve for x
    x = 2,095,169,400,900/663,012
  6. Step 6: Final answer
    x = 3,160,077.65

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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.