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Finding the Third Proportional to 584,712 and 1,278,774

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Solution

The third proportional to 584,712 and 1,278,774 is: 2,796,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,712 : 1,278,774 = 1,278,774 : x
  2. Step 2: Convert to fraction form
    584,712/1,278,774 = 1,278,774/x
  3. Step 3: Cross multiply
    584,712x = 1,278,774 × 1,278,774
  4. Step 4: Simplify right side
    584,712x = 1,635,262,943,076
  5. Step 5: Solve for x
    x = 1,635,262,943,076/584,712
  6. Step 6: Final answer
    x = 2,796,698.11

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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.