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Finding the Third Proportional to 549,459 and 1,141,011

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Solution

The third proportional to 549,459 and 1,141,011 is: 2,369,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,459 : 1,141,011 = 1,141,011 : x
  2. Step 2: Convert to fraction form
    549,459/1,141,011 = 1,141,011/x
  3. Step 3: Cross multiply
    549,459x = 1,141,011 × 1,141,011
  4. Step 4: Simplify right side
    549,459x = 1,301,906,102,121
  5. Step 5: Solve for x
    x = 1,301,906,102,121/549,459
  6. Step 6: Final answer
    x = 2,369,432.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.