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Finding the Third Proportional to 714,596 and 1,137,494

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Solution

The third proportional to 714,596 and 1,137,494 is: 1,810,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,596 : 1,137,494 = 1,137,494 : x
  2. Step 2: Convert to fraction form
    714,596/1,137,494 = 1,137,494/x
  3. Step 3: Cross multiply
    714,596x = 1,137,494 × 1,137,494
  4. Step 4: Simplify right side
    714,596x = 1,293,892,600,036
  5. Step 5: Solve for x
    x = 1,293,892,600,036/714,596
  6. Step 6: Final answer
    x = 1,810,663.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.