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Finding the Third Proportional to 435,658 and 943,693

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Solution

The third proportional to 435,658 and 943,693 is: 2,044,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,658 : 943,693 = 943,693 : x
  2. Step 2: Convert to fraction form
    435,658/943,693 = 943,693/x
  3. Step 3: Cross multiply
    435,658x = 943,693 × 943,693
  4. Step 4: Simplify right side
    435,658x = 890,556,478,249
  5. Step 5: Solve for x
    x = 890,556,478,249/435,658
  6. Step 6: Final answer
    x = 2,044,164.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.