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Finding the Third Proportional to 911,674.13 and 1,977,869.25

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Solution

The third proportional to 911,674.13 and 1,977,869.25 is: 4,290,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,674.13 : 1,977,869.25 = 1,977,869.25 : x
  2. Step 2: Convert to fraction form
    911,674.13/1,977,869.25 = 1,977,869.25/x
  3. Step 3: Cross multiply
    911,674.13x = 1,977,869.25 × 1,977,869.25
  4. Step 4: Simplify right side
    911,674.13x = 3,911,966,770,095.56
  5. Step 5: Solve for x
    x = 3,911,966,770,095.56/911,674.13
  6. Step 6: Final answer
    x = 4,290,970.49

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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.