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Finding the Third Proportional to 769,712 and 1,146,360

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Solution

The third proportional to 769,712 and 1,146,360 is: 1,707,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,712 : 1,146,360 = 1,146,360 : x
  2. Step 2: Convert to fraction form
    769,712/1,146,360 = 1,146,360/x
  3. Step 3: Cross multiply
    769,712x = 1,146,360 × 1,146,360
  4. Step 4: Simplify right side
    769,712x = 1,314,141,249,600
  5. Step 5: Solve for x
    x = 1,314,141,249,600/769,712
  6. Step 6: Final answer
    x = 1,707,315.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.