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Finding the Third Proportional to 778,805 and 1,690,470

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Solution

The third proportional to 778,805 and 1,690,470 is: 3,669,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,805 : 1,690,470 = 1,690,470 : x
  2. Step 2: Convert to fraction form
    778,805/1,690,470 = 1,690,470/x
  3. Step 3: Cross multiply
    778,805x = 1,690,470 × 1,690,470
  4. Step 4: Simplify right side
    778,805x = 2,857,688,820,900
  5. Step 5: Solve for x
    x = 2,857,688,820,900/778,805
  6. Step 6: Final answer
    x = 3,669,325.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.