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Finding the Third Proportional to 778,470 and 1,173,273

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Solution

The third proportional to 778,470 and 1,173,273 is: 1,768,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,470 : 1,173,273 = 1,173,273 : x
  2. Step 2: Convert to fraction form
    778,470/1,173,273 = 1,173,273/x
  3. Step 3: Cross multiply
    778,470x = 1,173,273 × 1,173,273
  4. Step 4: Simplify right side
    778,470x = 1,376,569,532,529
  5. Step 5: Solve for x
    x = 1,376,569,532,529/778,470
  6. Step 6: Final answer
    x = 1,768,301.33

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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.