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Finding the Third Proportional to 435,315 and 914,693

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Solution

The third proportional to 435,315 and 914,693 is: 1,921,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,315 : 914,693 = 914,693 : x
  2. Step 2: Convert to fraction form
    435,315/914,693 = 914,693/x
  3. Step 3: Cross multiply
    435,315x = 914,693 × 914,693
  4. Step 4: Simplify right side
    435,315x = 836,663,284,249
  5. Step 5: Solve for x
    x = 836,663,284,249/435,315
  6. Step 6: Final answer
    x = 1,921,972.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.