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Finding the Third Proportional to 749,658 and 1,153,163

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Solution

The third proportional to 749,658 and 1,153,163 is: 1,773,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,658 : 1,153,163 = 1,153,163 : x
  2. Step 2: Convert to fraction form
    749,658/1,153,163 = 1,153,163/x
  3. Step 3: Cross multiply
    749,658x = 1,153,163 × 1,153,163
  4. Step 4: Simplify right side
    749,658x = 1,329,784,904,569
  5. Step 5: Solve for x
    x = 1,329,784,904,569/749,658
  6. Step 6: Final answer
    x = 1,773,855.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.