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Finding the Third Proportional to 708,928 and 1,529,168

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Solution

The third proportional to 708,928 and 1,529,168 is: 3,298,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,928 : 1,529,168 = 1,529,168 : x
  2. Step 2: Convert to fraction form
    708,928/1,529,168 = 1,529,168/x
  3. Step 3: Cross multiply
    708,928x = 1,529,168 × 1,529,168
  4. Step 4: Simplify right side
    708,928x = 2,338,354,772,224
  5. Step 5: Solve for x
    x = 2,338,354,772,224/708,928
  6. Step 6: Final answer
    x = 3,298,437.60

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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.