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Finding the Third Proportional to 886,476 and 1,298,265

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Solution

The third proportional to 886,476 and 1,298,265 is: 1,901,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,476 : 1,298,265 = 1,298,265 : x
  2. Step 2: Convert to fraction form
    886,476/1,298,265 = 1,298,265/x
  3. Step 3: Cross multiply
    886,476x = 1,298,265 × 1,298,265
  4. Step 4: Simplify right side
    886,476x = 1,685,492,010,225
  5. Step 5: Solve for x
    x = 1,685,492,010,225/886,476
  6. Step 6: Final answer
    x = 1,901,339.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.