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Finding the Third Proportional to 616,240 and 919,248

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Solution

The third proportional to 616,240 and 919,248 is: 1,371,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,240 : 919,248 = 919,248 : x
  2. Step 2: Convert to fraction form
    616,240/919,248 = 919,248/x
  3. Step 3: Cross multiply
    616,240x = 919,248 × 919,248
  4. Step 4: Simplify right side
    616,240x = 845,016,885,504
  5. Step 5: Solve for x
    x = 845,016,885,504/616,240
  6. Step 6: Final answer
    x = 1,371,246.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.