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Finding the Third Proportional to 830,748 and 1,787,856

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Solution

The third proportional to 830,748 and 1,787,856 is: 3,847,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,748 : 1,787,856 = 1,787,856 : x
  2. Step 2: Convert to fraction form
    830,748/1,787,856 = 1,787,856/x
  3. Step 3: Cross multiply
    830,748x = 1,787,856 × 1,787,856
  4. Step 4: Simplify right side
    830,748x = 3,196,429,076,736
  5. Step 5: Solve for x
    x = 3,196,429,076,736/830,748
  6. Step 6: Final answer
    x = 3,847,651.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.