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Finding the Third Proportional to 736,982 and 1,562,535

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Solution

The third proportional to 736,982 and 1,562,535 is: 3,312,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,982 : 1,562,535 = 1,562,535 : x
  2. Step 2: Convert to fraction form
    736,982/1,562,535 = 1,562,535/x
  3. Step 3: Cross multiply
    736,982x = 1,562,535 × 1,562,535
  4. Step 4: Simplify right side
    736,982x = 2,441,515,626,225
  5. Step 5: Solve for x
    x = 2,441,515,626,225/736,982
  6. Step 6: Final answer
    x = 3,312,856.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.