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Finding the Third Proportional to 460,820 and 953,608

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Solution

The third proportional to 460,820 and 953,608 is: 1,973,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,820 : 953,608 = 953,608 : x
  2. Step 2: Convert to fraction form
    460,820/953,608 = 953,608/x
  3. Step 3: Cross multiply
    460,820x = 953,608 × 953,608
  4. Step 4: Simplify right side
    460,820x = 909,368,217,664
  5. Step 5: Solve for x
    x = 909,368,217,664/460,820
  6. Step 6: Final answer
    x = 1,973,369.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.