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Finding the Third Proportional to 549,564 and 1,195,902

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Solution

The third proportional to 549,564 and 1,195,902 is: 2,602,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,564 : 1,195,902 = 1,195,902 : x
  2. Step 2: Convert to fraction form
    549,564/1,195,902 = 1,195,902/x
  3. Step 3: Cross multiply
    549,564x = 1,195,902 × 1,195,902
  4. Step 4: Simplify right side
    549,564x = 1,430,181,593,604
  5. Step 5: Solve for x
    x = 1,430,181,593,604/549,564
  6. Step 6: Final answer
    x = 2,602,393.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.