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Finding the Third Proportional to 838,360 and 1,185,124

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Solution

The third proportional to 838,360 and 1,185,124 is: 1,675,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,360 : 1,185,124 = 1,185,124 : x
  2. Step 2: Convert to fraction form
    838,360/1,185,124 = 1,185,124/x
  3. Step 3: Cross multiply
    838,360x = 1,185,124 × 1,185,124
  4. Step 4: Simplify right side
    838,360x = 1,404,518,895,376
  5. Step 5: Solve for x
    x = 1,404,518,895,376/838,360
  6. Step 6: Final answer
    x = 1,675,317.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.