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Finding the Third Proportional to 974,792 and 2,256,464

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Solution

The third proportional to 974,792 and 2,256,464 is: 5,223,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,792 : 2,256,464 = 2,256,464 : x
  2. Step 2: Convert to fraction form
    974,792/2,256,464 = 2,256,464/x
  3. Step 3: Cross multiply
    974,792x = 2,256,464 × 2,256,464
  4. Step 4: Simplify right side
    974,792x = 5,091,629,783,296
  5. Step 5: Solve for x
    x = 5,091,629,783,296/974,792
  6. Step 6: Final answer
    x = 5,223,298.70

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.