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Finding the Third Proportional to 549,461 and 1,141,015

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Solution

The third proportional to 549,461 and 1,141,015 is: 2,369,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,461 : 1,141,015 = 1,141,015 : x
  2. Step 2: Convert to fraction form
    549,461/1,141,015 = 1,141,015/x
  3. Step 3: Cross multiply
    549,461x = 1,141,015 × 1,141,015
  4. Step 4: Simplify right side
    549,461x = 1,301,915,230,225
  5. Step 5: Solve for x
    x = 1,301,915,230,225/549,461
  6. Step 6: Final answer
    x = 2,369,440.65

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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.