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Finding the Third Proportional to 873,457 and 1,851,889

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Solution

The third proportional to 873,457 and 1,851,889 is: 3,926,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,457 : 1,851,889 = 1,851,889 : x
  2. Step 2: Convert to fraction form
    873,457/1,851,889 = 1,851,889/x
  3. Step 3: Cross multiply
    873,457x = 1,851,889 × 1,851,889
  4. Step 4: Simplify right side
    873,457x = 3,429,492,868,321
  5. Step 5: Solve for x
    x = 3,429,492,868,321/873,457
  6. Step 6: Final answer
    x = 3,926,344.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.