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Finding the Third Proportional to 1,478,020 and 3,177,032

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Solution

The third proportional to 1,478,020 and 3,177,032 is: 6,829,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,020 : 3,177,032 = 3,177,032 : x
  2. Step 2: Convert to fraction form
    1,478,020/3,177,032 = 3,177,032/x
  3. Step 3: Cross multiply
    1,478,020x = 3,177,032 × 3,177,032
  4. Step 4: Simplify right side
    1,478,020x = 10,093,532,329,024
  5. Step 5: Solve for x
    x = 10,093,532,329,024/1,478,020
  6. Step 6: Final answer
    x = 6,829,090.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.