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Finding the Third Proportional to 620,000 and 877,541

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Solution

The third proportional to 620,000 and 877,541 is: 1,242,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,000 : 877,541 = 877,541 : x
  2. Step 2: Convert to fraction form
    620,000/877,541 = 877,541/x
  3. Step 3: Cross multiply
    620,000x = 877,541 × 877,541
  4. Step 4: Simplify right side
    620,000x = 770,078,206,681
  5. Step 5: Solve for x
    x = 770,078,206,681/620,000
  6. Step 6: Final answer
    x = 1,242,061.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.