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Finding the Third Proportional to 569,714 and 881,864

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Solution

The third proportional to 569,714 and 881,864 is: 1,365,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,714 : 881,864 = 881,864 : x
  2. Step 2: Convert to fraction form
    569,714/881,864 = 881,864/x
  3. Step 3: Cross multiply
    569,714x = 881,864 × 881,864
  4. Step 4: Simplify right side
    569,714x = 777,684,114,496
  5. Step 5: Solve for x
    x = 777,684,114,496/569,714
  6. Step 6: Final answer
    x = 1,365,043.01

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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.