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Finding the Third Proportional to 608,746 and 946,276

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Solution

The third proportional to 608,746 and 946,276 is: 1,470,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,746 : 946,276 = 946,276 : x
  2. Step 2: Convert to fraction form
    608,746/946,276 = 946,276/x
  3. Step 3: Cross multiply
    608,746x = 946,276 × 946,276
  4. Step 4: Simplify right side
    608,746x = 895,438,268,176
  5. Step 5: Solve for x
    x = 895,438,268,176/608,746
  6. Step 6: Final answer
    x = 1,470,955.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.