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Finding the Third Proportional to 443,610 and 953,640

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Solution

The third proportional to 443,610 and 953,640 is: 2,050,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,610 : 953,640 = 953,640 : x
  2. Step 2: Convert to fraction form
    443,610/953,640 = 953,640/x
  3. Step 3: Cross multiply
    443,610x = 953,640 × 953,640
  4. Step 4: Simplify right side
    443,610x = 909,429,249,600
  5. Step 5: Solve for x
    x = 909,429,249,600/443,610
  6. Step 6: Final answer
    x = 2,050,064.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.