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Finding the Third Proportional to 736,762 and 1,628,373

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Solution

The third proportional to 736,762 and 1,628,373 is: 3,598,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,762 : 1,628,373 = 1,628,373 : x
  2. Step 2: Convert to fraction form
    736,762/1,628,373 = 1,628,373/x
  3. Step 3: Cross multiply
    736,762x = 1,628,373 × 1,628,373
  4. Step 4: Simplify right side
    736,762x = 2,651,598,627,129
  5. Step 5: Solve for x
    x = 2,651,598,627,129/736,762
  6. Step 6: Final answer
    x = 3,598,989.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.