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Finding the Third Proportional to 1,029,454 and 1,485,114

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Solution

The third proportional to 1,029,454 and 1,485,114 is: 2,142,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,454 : 1,485,114 = 1,485,114 : x
  2. Step 2: Convert to fraction form
    1,029,454/1,485,114 = 1,485,114/x
  3. Step 3: Cross multiply
    1,029,454x = 1,485,114 × 1,485,114
  4. Step 4: Simplify right side
    1,029,454x = 2,205,563,592,996
  5. Step 5: Solve for x
    x = 2,205,563,592,996/1,029,454
  6. Step 6: Final answer
    x = 2,142,459.59

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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.