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Finding the Third Proportional to 745,965 and 1,157,130

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Solution

The third proportional to 745,965 and 1,157,130 is: 1,794,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,965 : 1,157,130 = 1,157,130 : x
  2. Step 2: Convert to fraction form
    745,965/1,157,130 = 1,157,130/x
  3. Step 3: Cross multiply
    745,965x = 1,157,130 × 1,157,130
  4. Step 4: Simplify right side
    745,965x = 1,338,949,836,900
  5. Step 5: Solve for x
    x = 1,338,949,836,900/745,965
  6. Step 6: Final answer
    x = 1,794,923.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.