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Finding the Third Proportional to 1,029,410 and 1,485,061

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Solution

The third proportional to 1,029,410 and 1,485,061 is: 2,142,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,410 : 1,485,061 = 1,485,061 : x
  2. Step 2: Convert to fraction form
    1,029,410/1,485,061 = 1,485,061/x
  3. Step 3: Cross multiply
    1,029,410x = 1,485,061 × 1,485,061
  4. Step 4: Simplify right side
    1,029,410x = 2,205,406,173,721
  5. Step 5: Solve for x
    x = 2,205,406,173,721/1,029,410
  6. Step 6: Final answer
    x = 2,142,398.24

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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.