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Finding the Third Proportional to 1,975,790 and 2,979,255

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Solution

The third proportional to 1,975,790 and 2,979,255 is: 4,492,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,790 : 2,979,255 = 2,979,255 : x
  2. Step 2: Convert to fraction form
    1,975,790/2,979,255 = 2,979,255/x
  3. Step 3: Cross multiply
    1,975,790x = 2,979,255 × 2,979,255
  4. Step 4: Simplify right side
    1,975,790x = 8,875,960,355,025
  5. Step 5: Solve for x
    x = 8,875,960,355,025/1,975,790
  6. Step 6: Final answer
    x = 4,492,360.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.