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Finding the Third Proportional to 584,776 and 1,281,228

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Solution

The third proportional to 584,776 and 1,281,228 is: 2,807,135.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,776 : 1,281,228 = 1,281,228 : x
  2. Step 2: Convert to fraction form
    584,776/1,281,228 = 1,281,228/x
  3. Step 3: Cross multiply
    584,776x = 1,281,228 × 1,281,228
  4. Step 4: Simplify right side
    584,776x = 1,641,545,187,984
  5. Step 5: Solve for x
    x = 1,641,545,187,984/584,776
  6. Step 6: Final answer
    x = 2,807,135.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.