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Finding the Third Proportional to 565,543 and 1,229,258

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Solution

The third proportional to 565,543 and 1,229,258 is: 2,671,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,543 : 1,229,258 = 1,229,258 : x
  2. Step 2: Convert to fraction form
    565,543/1,229,258 = 1,229,258/x
  3. Step 3: Cross multiply
    565,543x = 1,229,258 × 1,229,258
  4. Step 4: Simplify right side
    565,543x = 1,511,075,230,564
  5. Step 5: Solve for x
    x = 1,511,075,230,564/565,543
  6. Step 6: Final answer
    x = 2,671,901.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.