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Finding the Third Proportional to 970,369.50 and 1,389,498

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Solution

The third proportional to 970,369.50 and 1,389,498 is: 1,989,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,369.50 : 1,389,498 = 1,389,498 : x
  2. Step 2: Convert to fraction form
    970,369.50/1,389,498 = 1,389,498/x
  3. Step 3: Cross multiply
    970,369.50x = 1,389,498 × 1,389,498
  4. Step 4: Simplify right side
    970,369.50x = 1,930,704,692,004
  5. Step 5: Solve for x
    x = 1,930,704,692,004/970,369.50
  6. Step 6: Final answer
    x = 1,989,659.29

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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.