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Finding the Third Proportional to 435,690 and 957,294

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Solution

The third proportional to 435,690 and 957,294 is: 2,103,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,690 : 957,294 = 957,294 : x
  2. Step 2: Convert to fraction form
    435,690/957,294 = 957,294/x
  3. Step 3: Cross multiply
    435,690x = 957,294 × 957,294
  4. Step 4: Simplify right side
    435,690x = 916,411,802,436
  5. Step 5: Solve for x
    x = 916,411,802,436/435,690
  6. Step 6: Final answer
    x = 2,103,357.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.