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Finding the Third Proportional to 557,670 and 1,196,292

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Solution

The third proportional to 557,670 and 1,196,292 is: 2,566,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,670 : 1,196,292 = 1,196,292 : x
  2. Step 2: Convert to fraction form
    557,670/1,196,292 = 1,196,292/x
  3. Step 3: Cross multiply
    557,670x = 1,196,292 × 1,196,292
  4. Step 4: Simplify right side
    557,670x = 1,431,114,549,264
  5. Step 5: Solve for x
    x = 1,431,114,549,264/557,670
  6. Step 6: Final answer
    x = 2,566,239.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.