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Finding the Third Proportional to 1,482,303 and 3,232,253

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Solution

The third proportional to 1,482,303 and 3,232,253 is: 7,048,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482,303 : 3,232,253 = 3,232,253 : x
  2. Step 2: Convert to fraction form
    1,482,303/3,232,253 = 3,232,253/x
  3. Step 3: Cross multiply
    1,482,303x = 3,232,253 × 3,232,253
  4. Step 4: Simplify right side
    1,482,303x = 10,447,459,456,009
  5. Step 5: Solve for x
    x = 10,447,459,456,009/1,482,303
  6. Step 6: Final answer
    x = 7,048,126.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.