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Finding the Third Proportional to 1,196,335 and 2,580,509

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Solution

The third proportional to 1,196,335 and 2,580,509 is: 5,566,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,335 : 2,580,509 = 2,580,509 : x
  2. Step 2: Convert to fraction form
    1,196,335/2,580,509 = 2,580,509/x
  3. Step 3: Cross multiply
    1,196,335x = 2,580,509 × 2,580,509
  4. Step 4: Simplify right side
    1,196,335x = 6,659,026,699,081
  5. Step 5: Solve for x
    x = 6,659,026,699,081/1,196,335
  6. Step 6: Final answer
    x = 5,566,188.98

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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.