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Finding the Third Proportional to 549,242 and 1,187,316

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Solution

The third proportional to 549,242 and 1,187,316 is: 2,566,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,242 : 1,187,316 = 1,187,316 : x
  2. Step 2: Convert to fraction form
    549,242/1,187,316 = 1,187,316/x
  3. Step 3: Cross multiply
    549,242x = 1,187,316 × 1,187,316
  4. Step 4: Simplify right side
    549,242x = 1,409,719,283,856
  5. Step 5: Solve for x
    x = 1,409,719,283,856/549,242
  6. Step 6: Final answer
    x = 2,566,663.30

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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.