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Finding the Third Proportional to 565,018 and 1,319,373

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Solution

The third proportional to 565,018 and 1,319,373 is: 3,080,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,018 : 1,319,373 = 1,319,373 : x
  2. Step 2: Convert to fraction form
    565,018/1,319,373 = 1,319,373/x
  3. Step 3: Cross multiply
    565,018x = 1,319,373 × 1,319,373
  4. Step 4: Simplify right side
    565,018x = 1,740,745,113,129
  5. Step 5: Solve for x
    x = 1,740,745,113,129/565,018
  6. Step 6: Final answer
    x = 3,080,866.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.