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Finding the Third Proportional to 989,484 and 1,503,106

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Solution

The third proportional to 989,484 and 1,503,106 is: 2,283,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,484 : 1,503,106 = 1,503,106 : x
  2. Step 2: Convert to fraction form
    989,484/1,503,106 = 1,503,106/x
  3. Step 3: Cross multiply
    989,484x = 1,503,106 × 1,503,106
  4. Step 4: Simplify right side
    989,484x = 2,259,327,647,236
  5. Step 5: Solve for x
    x = 2,259,327,647,236/989,484
  6. Step 6: Final answer
    x = 2,283,339.24

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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.