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Finding the Third Proportional to 776,058 and 1,688,808

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Solution

The third proportional to 776,058 and 1,688,808 is: 3,675,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,058 : 1,688,808 = 1,688,808 : x
  2. Step 2: Convert to fraction form
    776,058/1,688,808 = 1,688,808/x
  3. Step 3: Cross multiply
    776,058x = 1,688,808 × 1,688,808
  4. Step 4: Simplify right side
    776,058x = 2,852,072,460,864
  5. Step 5: Solve for x
    x = 2,852,072,460,864/776,058
  6. Step 6: Final answer
    x = 3,675,076.43

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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.