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Finding the Third Proportional to 591,106 and 1,281,284

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Solution

The third proportional to 591,106 and 1,281,284 is: 2,777,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,106 : 1,281,284 = 1,281,284 : x
  2. Step 2: Convert to fraction form
    591,106/1,281,284 = 1,281,284/x
  3. Step 3: Cross multiply
    591,106x = 1,281,284 × 1,281,284
  4. Step 4: Simplify right side
    591,106x = 1,641,688,688,656
  5. Step 5: Solve for x
    x = 1,641,688,688,656/591,106
  6. Step 6: Final answer
    x = 2,777,316.91

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Why These Related Problems?

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