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Finding the Third Proportional to 377,914 and 829,547

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Solution

The third proportional to 377,914 and 829,547 is: 1,820,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,914 : 829,547 = 829,547 : x
  2. Step 2: Convert to fraction form
    377,914/829,547 = 829,547/x
  3. Step 3: Cross multiply
    377,914x = 829,547 × 829,547
  4. Step 4: Simplify right side
    377,914x = 688,148,225,209
  5. Step 5: Solve for x
    x = 688,148,225,209/377,914
  6. Step 6: Final answer
    x = 1,820,912.23

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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.