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Finding the Third Proportional to 770,123 and 1,674,490

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Solution

The third proportional to 770,123 and 1,674,490 is: 3,640,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,123 : 1,674,490 = 1,674,490 : x
  2. Step 2: Convert to fraction form
    770,123/1,674,490 = 1,674,490/x
  3. Step 3: Cross multiply
    770,123x = 1,674,490 × 1,674,490
  4. Step 4: Simplify right side
    770,123x = 2,803,916,760,100
  5. Step 5: Solve for x
    x = 2,803,916,760,100/770,123
  6. Step 6: Final answer
    x = 3,640,868.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.