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Finding the Third Proportional to 873,408 and 1,123,488

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Solution

The third proportional to 873,408 and 1,123,488 is: 1,445,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,408 : 1,123,488 = 1,123,488 : x
  2. Step 2: Convert to fraction form
    873,408/1,123,488 = 1,123,488/x
  3. Step 3: Cross multiply
    873,408x = 1,123,488 × 1,123,488
  4. Step 4: Simplify right side
    873,408x = 1,262,225,286,144
  5. Step 5: Solve for x
    x = 1,262,225,286,144/873,408
  6. Step 6: Final answer
    x = 1,445,172.57

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.