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Finding the Third Proportional to 569,590 and 883,101

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Solution

The third proportional to 569,590 and 883,101 is: 1,369,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,590 : 883,101 = 883,101 : x
  2. Step 2: Convert to fraction form
    569,590/883,101 = 883,101/x
  3. Step 3: Cross multiply
    569,590x = 883,101 × 883,101
  4. Step 4: Simplify right side
    569,590x = 779,867,376,201
  5. Step 5: Solve for x
    x = 779,867,376,201/569,590
  6. Step 6: Final answer
    x = 1,369,173.22

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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.