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Finding the Third Proportional to 732,672 and 1,162,368

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Solution

The third proportional to 732,672 and 1,162,368 is: 1,844,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,672 : 1,162,368 = 1,162,368 : x
  2. Step 2: Convert to fraction form
    732,672/1,162,368 = 1,162,368/x
  3. Step 3: Cross multiply
    732,672x = 1,162,368 × 1,162,368
  4. Step 4: Simplify right side
    732,672x = 1,351,099,367,424
  5. Step 5: Solve for x
    x = 1,351,099,367,424/732,672
  6. Step 6: Final answer
    x = 1,844,071.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.