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Finding the Third Proportional to 1,029,414 and 1,485,072

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Solution

The third proportional to 1,029,414 and 1,485,072 is: 2,142,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,414 : 1,485,072 = 1,485,072 : x
  2. Step 2: Convert to fraction form
    1,029,414/1,485,072 = 1,485,072/x
  3. Step 3: Cross multiply
    1,029,414x = 1,485,072 × 1,485,072
  4. Step 4: Simplify right side
    1,029,414x = 2,205,438,845,184
  5. Step 5: Solve for x
    x = 2,205,438,845,184/1,029,414
  6. Step 6: Final answer
    x = 2,142,421.65

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.