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Finding the Third Proportional to 778,258 and 1,704,136

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Solution

The third proportional to 778,258 and 1,704,136 is: 3,731,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,258 : 1,704,136 = 1,704,136 : x
  2. Step 2: Convert to fraction form
    778,258/1,704,136 = 1,704,136/x
  3. Step 3: Cross multiply
    778,258x = 1,704,136 × 1,704,136
  4. Step 4: Simplify right side
    778,258x = 2,904,079,506,496
  5. Step 5: Solve for x
    x = 2,904,079,506,496/778,258
  6. Step 6: Final answer
    x = 3,731,512.57

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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.