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Finding the Third Proportional to 485,436 and 1,064,184

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Solution

The third proportional to 485,436 and 1,064,184 is: 2,332,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,436 : 1,064,184 = 1,064,184 : x
  2. Step 2: Convert to fraction form
    485,436/1,064,184 = 1,064,184/x
  3. Step 3: Cross multiply
    485,436x = 1,064,184 × 1,064,184
  4. Step 4: Simplify right side
    485,436x = 1,132,487,585,856
  5. Step 5: Solve for x
    x = 1,132,487,585,856/485,436
  6. Step 6: Final answer
    x = 2,332,928.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.