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Finding the Third Proportional to 669,103 and 953,830

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Solution

The third proportional to 669,103 and 953,830 is: 1,359,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,103 : 953,830 = 953,830 : x
  2. Step 2: Convert to fraction form
    669,103/953,830 = 953,830/x
  3. Step 3: Cross multiply
    669,103x = 953,830 × 953,830
  4. Step 4: Simplify right side
    669,103x = 909,791,668,900
  5. Step 5: Solve for x
    x = 909,791,668,900/669,103
  6. Step 6: Final answer
    x = 1,359,718.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.