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Finding the Third Proportional to 491,140 and 1,069,732

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Solution

The third proportional to 491,140 and 1,069,732 is: 2,329,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,140 : 1,069,732 = 1,069,732 : x
  2. Step 2: Convert to fraction form
    491,140/1,069,732 = 1,069,732/x
  3. Step 3: Cross multiply
    491,140x = 1,069,732 × 1,069,732
  4. Step 4: Simplify right side
    491,140x = 1,144,326,551,824
  5. Step 5: Solve for x
    x = 1,144,326,551,824/491,140
  6. Step 6: Final answer
    x = 2,329,939.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.