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Finding the Third Proportional to 771,570 and 1,146,178

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Solution

The third proportional to 771,570 and 1,146,178 is: 1,702,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,570 : 1,146,178 = 1,146,178 : x
  2. Step 2: Convert to fraction form
    771,570/1,146,178 = 1,146,178/x
  3. Step 3: Cross multiply
    771,570x = 1,146,178 × 1,146,178
  4. Step 4: Simplify right side
    771,570x = 1,313,724,007,684
  5. Step 5: Solve for x
    x = 1,313,724,007,684/771,570
  6. Step 6: Final answer
    x = 1,702,663.41

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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.