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Finding the Third Proportional to 913,968 and 1,459,512

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Solution

The third proportional to 913,968 and 1,459,512 is: 2,330,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,968 : 1,459,512 = 1,459,512 : x
  2. Step 2: Convert to fraction form
    913,968/1,459,512 = 1,459,512/x
  3. Step 3: Cross multiply
    913,968x = 1,459,512 × 1,459,512
  4. Step 4: Simplify right side
    913,968x = 2,130,175,278,144
  5. Step 5: Solve for x
    x = 2,130,175,278,144/913,968
  6. Step 6: Final answer
    x = 2,330,689.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.