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Finding the Third Proportional to 944,966 and 1,502,697

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Solution

The third proportional to 944,966 and 1,502,697 is: 2,389,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,966 : 1,502,697 = 1,502,697 : x
  2. Step 2: Convert to fraction form
    944,966/1,502,697 = 1,502,697/x
  3. Step 3: Cross multiply
    944,966x = 1,502,697 × 1,502,697
  4. Step 4: Simplify right side
    944,966x = 2,258,098,273,809
  5. Step 5: Solve for x
    x = 2,258,098,273,809/944,966
  6. Step 6: Final answer
    x = 2,389,607.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.