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Finding the Third Proportional to 581,458 and 1,287,268

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Solution

The third proportional to 581,458 and 1,287,268 is: 2,849,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,458 : 1,287,268 = 1,287,268 : x
  2. Step 2: Convert to fraction form
    581,458/1,287,268 = 1,287,268/x
  3. Step 3: Cross multiply
    581,458x = 1,287,268 × 1,287,268
  4. Step 4: Simplify right side
    581,458x = 1,657,058,903,824
  5. Step 5: Solve for x
    x = 1,657,058,903,824/581,458
  6. Step 6: Final answer
    x = 2,849,834.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.