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Finding the Third Proportional to 591,148 and 917,216

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Solution

The third proportional to 591,148 and 917,216 is: 1,423,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,148 : 917,216 = 917,216 : x
  2. Step 2: Convert to fraction form
    591,148/917,216 = 917,216/x
  3. Step 3: Cross multiply
    591,148x = 917,216 × 917,216
  4. Step 4: Simplify right side
    591,148x = 841,285,190,656
  5. Step 5: Solve for x
    x = 841,285,190,656/591,148
  6. Step 6: Final answer
    x = 1,423,138.01

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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.