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Finding the Third Proportional to 694,071 and 1,049,854

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Solution

The third proportional to 694,071 and 1,049,854 is: 1,588,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,071 : 1,049,854 = 1,049,854 : x
  2. Step 2: Convert to fraction form
    694,071/1,049,854 = 1,049,854/x
  3. Step 3: Cross multiply
    694,071x = 1,049,854 × 1,049,854
  4. Step 4: Simplify right side
    694,071x = 1,102,193,421,316
  5. Step 5: Solve for x
    x = 1,102,193,421,316/694,071
  6. Step 6: Final answer
    x = 1,588,012.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.