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Finding the Third Proportional to 565,657 and 1,219,827

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Solution

The third proportional to 565,657 and 1,219,827 is: 2,630,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,657 : 1,219,827 = 1,219,827 : x
  2. Step 2: Convert to fraction form
    565,657/1,219,827 = 1,219,827/x
  3. Step 3: Cross multiply
    565,657x = 1,219,827 × 1,219,827
  4. Step 4: Simplify right side
    565,657x = 1,487,977,909,929
  5. Step 5: Solve for x
    x = 1,487,977,909,929/565,657
  6. Step 6: Final answer
    x = 2,630,530.36

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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.