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Finding the Third Proportional to 917,606 and 1,349,633

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Solution

The third proportional to 917,606 and 1,349,633 is: 1,985,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,606 : 1,349,633 = 1,349,633 : x
  2. Step 2: Convert to fraction form
    917,606/1,349,633 = 1,349,633/x
  3. Step 3: Cross multiply
    917,606x = 1,349,633 × 1,349,633
  4. Step 4: Simplify right side
    917,606x = 1,821,509,234,689
  5. Step 5: Solve for x
    x = 1,821,509,234,689/917,606
  6. Step 6: Final answer
    x = 1,985,066.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.