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Finding the Third Proportional to 573,570 and 840,069

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Solution

The third proportional to 573,570 and 840,069 is: 1,230,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,570 : 840,069 = 840,069 : x
  2. Step 2: Convert to fraction form
    573,570/840,069 = 840,069/x
  3. Step 3: Cross multiply
    573,570x = 840,069 × 840,069
  4. Step 4: Simplify right side
    573,570x = 705,715,924,761
  5. Step 5: Solve for x
    x = 705,715,924,761/573,570
  6. Step 6: Final answer
    x = 1,230,391.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.