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Finding the Third Proportional to 778,746 and 1,138,554

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Solution

The third proportional to 778,746 and 1,138,554 is: 1,664,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,746 : 1,138,554 = 1,138,554 : x
  2. Step 2: Convert to fraction form
    778,746/1,138,554 = 1,138,554/x
  3. Step 3: Cross multiply
    778,746x = 1,138,554 × 1,138,554
  4. Step 4: Simplify right side
    778,746x = 1,296,305,210,916
  5. Step 5: Solve for x
    x = 1,296,305,210,916/778,746
  6. Step 6: Final answer
    x = 1,664,605.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.