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Finding the Third Proportional to 807,534 and 1,173,717

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Solution

The third proportional to 807,534 and 1,173,717 is: 1,705,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,534 : 1,173,717 = 1,173,717 : x
  2. Step 2: Convert to fraction form
    807,534/1,173,717 = 1,173,717/x
  3. Step 3: Cross multiply
    807,534x = 1,173,717 × 1,173,717
  4. Step 4: Simplify right side
    807,534x = 1,377,611,596,089
  5. Step 5: Solve for x
    x = 1,377,611,596,089/807,534
  6. Step 6: Final answer
    x = 1,705,948.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.