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Finding the Third Proportional to 669,663 and 1,580,535

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Solution

The third proportional to 669,663 and 1,580,535 is: 3,730,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,663 : 1,580,535 = 1,580,535 : x
  2. Step 2: Convert to fraction form
    669,663/1,580,535 = 1,580,535/x
  3. Step 3: Cross multiply
    669,663x = 1,580,535 × 1,580,535
  4. Step 4: Simplify right side
    669,663x = 2,498,090,886,225
  5. Step 5: Solve for x
    x = 2,498,090,886,225/669,663
  6. Step 6: Final answer
    x = 3,730,370.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.