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Finding the Third Proportional to 749,622 and 1,159,464

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Solution

The third proportional to 749,622 and 1,159,464 is: 1,793,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,622 : 1,159,464 = 1,159,464 : x
  2. Step 2: Convert to fraction form
    749,622/1,159,464 = 1,159,464/x
  3. Step 3: Cross multiply
    749,622x = 1,159,464 × 1,159,464
  4. Step 4: Simplify right side
    749,622x = 1,344,356,767,296
  5. Step 5: Solve for x
    x = 1,344,356,767,296/749,622
  6. Step 6: Final answer
    x = 1,793,379.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.