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Finding the Third Proportional to 663,072 and 1,430,976

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Solution

The third proportional to 663,072 and 1,430,976 is: 3,088,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,072 : 1,430,976 = 1,430,976 : x
  2. Step 2: Convert to fraction form
    663,072/1,430,976 = 1,430,976/x
  3. Step 3: Cross multiply
    663,072x = 1,430,976 × 1,430,976
  4. Step 4: Simplify right side
    663,072x = 2,047,692,312,576
  5. Step 5: Solve for x
    x = 2,047,692,312,576/663,072
  6. Step 6: Final answer
    x = 3,088,189.99

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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.