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Finding the Third Proportional to 653,139 and 989,553

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Solution

The third proportional to 653,139 and 989,553 is: 1,499,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,139 : 989,553 = 989,553 : x
  2. Step 2: Convert to fraction form
    653,139/989,553 = 989,553/x
  3. Step 3: Cross multiply
    653,139x = 989,553 × 989,553
  4. Step 4: Simplify right side
    653,139x = 979,215,139,809
  5. Step 5: Solve for x
    x = 979,215,139,809/653,139
  6. Step 6: Final answer
    x = 1,499,244.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.