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Finding the Third Proportional to 700,494 and 1,109,385

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Solution

The third proportional to 700,494 and 1,109,385 is: 1,756,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,494 : 1,109,385 = 1,109,385 : x
  2. Step 2: Convert to fraction form
    700,494/1,109,385 = 1,109,385/x
  3. Step 3: Cross multiply
    700,494x = 1,109,385 × 1,109,385
  4. Step 4: Simplify right side
    700,494x = 1,230,735,078,225
  5. Step 5: Solve for x
    x = 1,230,735,078,225/700,494
  6. Step 6: Final answer
    x = 1,756,953.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.