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Finding the Third Proportional to 774,306 and 1,173,123

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Solution

The third proportional to 774,306 and 1,173,123 is: 1,777,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,306 : 1,173,123 = 1,173,123 : x
  2. Step 2: Convert to fraction form
    774,306/1,173,123 = 1,173,123/x
  3. Step 3: Cross multiply
    774,306x = 1,173,123 × 1,173,123
  4. Step 4: Simplify right side
    774,306x = 1,376,217,573,129
  5. Step 5: Solve for x
    x = 1,376,217,573,129/774,306
  6. Step 6: Final answer
    x = 1,777,356.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.