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Finding the Third Proportional to 776,376 and 1,696,688

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Solution

The third proportional to 776,376 and 1,696,688 is: 3,707,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,376 : 1,696,688 = 1,696,688 : x
  2. Step 2: Convert to fraction form
    776,376/1,696,688 = 1,696,688/x
  3. Step 3: Cross multiply
    776,376x = 1,696,688 × 1,696,688
  4. Step 4: Simplify right side
    776,376x = 2,878,750,169,344
  5. Step 5: Solve for x
    x = 2,878,750,169,344/776,376
  6. Step 6: Final answer
    x = 3,707,932.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.