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Finding the Third Proportional to 453,464 and 988,582

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Solution

The third proportional to 453,464 and 988,582 is: 2,155,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,464 : 988,582 = 988,582 : x
  2. Step 2: Convert to fraction form
    453,464/988,582 = 988,582/x
  3. Step 3: Cross multiply
    453,464x = 988,582 × 988,582
  4. Step 4: Simplify right side
    453,464x = 977,294,370,724
  5. Step 5: Solve for x
    x = 977,294,370,724/453,464
  6. Step 6: Final answer
    x = 2,155,175.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.