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Finding the Third Proportional to 663,008 and 1,430,848

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Solution

The third proportional to 663,008 and 1,430,848 is: 3,087,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,008 : 1,430,848 = 1,430,848 : x
  2. Step 2: Convert to fraction form
    663,008/1,430,848 = 1,430,848/x
  3. Step 3: Cross multiply
    663,008x = 1,430,848 × 1,430,848
  4. Step 4: Simplify right side
    663,008x = 2,047,325,999,104
  5. Step 5: Solve for x
    x = 2,047,325,999,104/663,008
  6. Step 6: Final answer
    x = 3,087,935.59

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Why These Related Problems?

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