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Finding the Third Proportional to 546,122.25 and 847,938.38

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Solution

The third proportional to 546,122.25 and 847,938.38 is: 1,316,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,122.25 : 847,938.38 = 847,938.38 : x
  2. Step 2: Convert to fraction form
    546,122.25/847,938.38 = 847,938.38/x
  3. Step 3: Cross multiply
    546,122.25x = 847,938.38 × 847,938.38
  4. Step 4: Simplify right side
    546,122.25x = 718,999,487,797.64
  5. Step 5: Solve for x
    x = 718,999,487,797.64/546,122.25
  6. Step 6: Final answer
    x = 1,316,554.10

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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.