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Finding the Third Proportional to 491,430 and 1,051,173

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Solution

The third proportional to 491,430 and 1,051,173 is: 2,248,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,430 : 1,051,173 = 1,051,173 : x
  2. Step 2: Convert to fraction form
    491,430/1,051,173 = 1,051,173/x
  3. Step 3: Cross multiply
    491,430x = 1,051,173 × 1,051,173
  4. Step 4: Simplify right side
    491,430x = 1,104,964,675,929
  5. Step 5: Solve for x
    x = 1,104,964,675,929/491,430
  6. Step 6: Final answer
    x = 2,248,468.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.