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Finding the Third Proportional to 546,156 and 847,986

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Solution

The third proportional to 546,156 and 847,986 is: 1,316,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,156 : 847,986 = 847,986 : x
  2. Step 2: Convert to fraction form
    546,156/847,986 = 847,986/x
  3. Step 3: Cross multiply
    546,156x = 847,986 × 847,986
  4. Step 4: Simplify right side
    546,156x = 719,080,256,196
  5. Step 5: Solve for x
    x = 719,080,256,196/546,156
  6. Step 6: Final answer
    x = 1,316,620.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.