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Finding the Third Proportional to 1,029,653 and 2,144,528

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Solution

The third proportional to 1,029,653 and 2,144,528 is: 4,466,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,653 : 2,144,528 = 2,144,528 : x
  2. Step 2: Convert to fraction form
    1,029,653/2,144,528 = 2,144,528/x
  3. Step 3: Cross multiply
    1,029,653x = 2,144,528 × 2,144,528
  4. Step 4: Simplify right side
    1,029,653x = 4,599,000,342,784
  5. Step 5: Solve for x
    x = 4,599,000,342,784/1,029,653
  6. Step 6: Final answer
    x = 4,466,553.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.