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Finding the Third Proportional to 569,286 and 1,232,076

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Solution

The third proportional to 569,286 and 1,232,076 is: 2,666,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,286 : 1,232,076 = 1,232,076 : x
  2. Step 2: Convert to fraction form
    569,286/1,232,076 = 1,232,076/x
  3. Step 3: Cross multiply
    569,286x = 1,232,076 × 1,232,076
  4. Step 4: Simplify right side
    569,286x = 1,518,011,269,776
  5. Step 5: Solve for x
    x = 1,518,011,269,776/569,286
  6. Step 6: Final answer
    x = 2,666,517.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.