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Finding the Third Proportional to 776,988 and 1,831,581

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Solution

The third proportional to 776,988 and 1,831,581 is: 4,317,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,988 : 1,831,581 = 1,831,581 : x
  2. Step 2: Convert to fraction form
    776,988/1,831,581 = 1,831,581/x
  3. Step 3: Cross multiply
    776,988x = 1,831,581 × 1,831,581
  4. Step 4: Simplify right side
    776,988x = 3,354,688,959,561
  5. Step 5: Solve for x
    x = 3,354,688,959,561/776,988
  6. Step 6: Final answer
    x = 4,317,555.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.