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Finding the Third Proportional to 569,594 and 883,107

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Solution

The third proportional to 569,594 and 883,107 is: 1,369,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,594 : 883,107 = 883,107 : x
  2. Step 2: Convert to fraction form
    569,594/883,107 = 883,107/x
  3. Step 3: Cross multiply
    569,594x = 883,107 × 883,107
  4. Step 4: Simplify right side
    569,594x = 779,877,973,449
  5. Step 5: Solve for x
    x = 779,877,973,449/569,594
  6. Step 6: Final answer
    x = 1,369,182.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.