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Finding the Third Proportional to 453,582 and 984,444

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Solution

The third proportional to 453,582 and 984,444 is: 2,136,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,582 : 984,444 = 984,444 : x
  2. Step 2: Convert to fraction form
    453,582/984,444 = 984,444/x
  3. Step 3: Cross multiply
    453,582x = 984,444 × 984,444
  4. Step 4: Simplify right side
    453,582x = 969,129,989,136
  5. Step 5: Solve for x
    x = 969,129,989,136/453,582
  6. Step 6: Final answer
    x = 2,136,614.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.