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Finding the Third Proportional to 549,162 and 1,187,146

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Solution

The third proportional to 549,162 and 1,187,146 is: 2,566,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,162 : 1,187,146 = 1,187,146 : x
  2. Step 2: Convert to fraction form
    549,162/1,187,146 = 1,187,146/x
  3. Step 3: Cross multiply
    549,162x = 1,187,146 × 1,187,146
  4. Step 4: Simplify right side
    549,162x = 1,409,315,625,316
  5. Step 5: Solve for x
    x = 1,409,315,625,316/549,162
  6. Step 6: Final answer
    x = 2,566,302.16

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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.