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Finding the Third Proportional to 569,864 and 879,468

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Solution

The third proportional to 569,864 and 879,468 is: 1,357,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,864 : 879,468 = 879,468 : x
  2. Step 2: Convert to fraction form
    569,864/879,468 = 879,468/x
  3. Step 3: Cross multiply
    569,864x = 879,468 × 879,468
  4. Step 4: Simplify right side
    569,864x = 773,463,963,024
  5. Step 5: Solve for x
    x = 773,463,963,024/569,864
  6. Step 6: Final answer
    x = 1,357,278.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.