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Finding the Third Proportional to 688,143 and 1,487,003

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Solution

The third proportional to 688,143 and 1,487,003 is: 3,213,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,143 : 1,487,003 = 1,487,003 : x
  2. Step 2: Convert to fraction form
    688,143/1,487,003 = 1,487,003/x
  3. Step 3: Cross multiply
    688,143x = 1,487,003 × 1,487,003
  4. Step 4: Simplify right side
    688,143x = 2,211,177,922,009
  5. Step 5: Solve for x
    x = 2,211,177,922,009/688,143
  6. Step 6: Final answer
    x = 3,213,253.53

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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.