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Finding the Third Proportional to 546,146 and 847,974

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Solution

The third proportional to 546,146 and 847,974 is: 1,316,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,146 : 847,974 = 847,974 : x
  2. Step 2: Convert to fraction form
    546,146/847,974 = 847,974/x
  3. Step 3: Cross multiply
    546,146x = 847,974 × 847,974
  4. Step 4: Simplify right side
    546,146x = 719,059,904,676
  5. Step 5: Solve for x
    x = 719,059,904,676/546,146
  6. Step 6: Final answer
    x = 1,316,607.47

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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.