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Finding the Third Proportional to 778,068 and 1,610,136

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Solution

The third proportional to 778,068 and 1,610,136 is: 3,332,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,068 : 1,610,136 = 1,610,136 : x
  2. Step 2: Convert to fraction form
    778,068/1,610,136 = 1,610,136/x
  3. Step 3: Cross multiply
    778,068x = 1,610,136 × 1,610,136
  4. Step 4: Simplify right side
    778,068x = 2,592,537,938,496
  5. Step 5: Solve for x
    x = 2,592,537,938,496/778,068
  6. Step 6: Final answer
    x = 3,332,019.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.