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Finding the Third Proportional to 578,476 and 1,250,534

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Solution

The third proportional to 578,476 and 1,250,534 is: 2,703,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,476 : 1,250,534 = 1,250,534 : x
  2. Step 2: Convert to fraction form
    578,476/1,250,534 = 1,250,534/x
  3. Step 3: Cross multiply
    578,476x = 1,250,534 × 1,250,534
  4. Step 4: Simplify right side
    578,476x = 1,563,835,285,156
  5. Step 5: Solve for x
    x = 1,563,835,285,156/578,476
  6. Step 6: Final answer
    x = 2,703,371.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.