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Finding the Third Proportional to 762,600 and 1,623,804

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Solution

The third proportional to 762,600 and 1,623,804 is: 3,457,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,600 : 1,623,804 = 1,623,804 : x
  2. Step 2: Convert to fraction form
    762,600/1,623,804 = 1,623,804/x
  3. Step 3: Cross multiply
    762,600x = 1,623,804 × 1,623,804
  4. Step 4: Simplify right side
    762,600x = 2,636,739,430,416
  5. Step 5: Solve for x
    x = 2,636,739,430,416/762,600
  6. Step 6: Final answer
    x = 3,457,565.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.