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Finding the Third Proportional to 788,746 and 1,182,735

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Solution

The third proportional to 788,746 and 1,182,735 is: 1,773,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,746 : 1,182,735 = 1,182,735 : x
  2. Step 2: Convert to fraction form
    788,746/1,182,735 = 1,182,735/x
  3. Step 3: Cross multiply
    788,746x = 1,182,735 × 1,182,735
  4. Step 4: Simplify right side
    788,746x = 1,398,862,080,225
  5. Step 5: Solve for x
    x = 1,398,862,080,225/788,746
  6. Step 6: Final answer
    x = 1,773,526.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.