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Finding the Third Proportional to 771,454 and 1,580,492

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Solution

The third proportional to 771,454 and 1,580,492 is: 3,237,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,454 : 1,580,492 = 1,580,492 : x
  2. Step 2: Convert to fraction form
    771,454/1,580,492 = 1,580,492/x
  3. Step 3: Cross multiply
    771,454x = 1,580,492 × 1,580,492
  4. Step 4: Simplify right side
    771,454x = 2,497,954,962,064
  5. Step 5: Solve for x
    x = 2,497,954,962,064/771,454
  6. Step 6: Final answer
    x = 3,237,983.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.