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Finding the Third Proportional to 739,024 and 1,579,136

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Solution

The third proportional to 739,024 and 1,579,136 is: 3,374,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,024 : 1,579,136 = 1,579,136 : x
  2. Step 2: Convert to fraction form
    739,024/1,579,136 = 1,579,136/x
  3. Step 3: Cross multiply
    739,024x = 1,579,136 × 1,579,136
  4. Step 4: Simplify right side
    739,024x = 2,493,670,506,496
  5. Step 5: Solve for x
    x = 2,493,670,506,496/739,024
  6. Step 6: Final answer
    x = 3,374,275.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.