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Finding the Third Proportional to 584,588 and 1,274,971

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Solution

The third proportional to 584,588 and 1,274,971 is: 2,780,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,588 : 1,274,971 = 1,274,971 : x
  2. Step 2: Convert to fraction form
    584,588/1,274,971 = 1,274,971/x
  3. Step 3: Cross multiply
    584,588x = 1,274,971 × 1,274,971
  4. Step 4: Simplify right side
    584,588x = 1,625,551,050,841
  5. Step 5: Solve for x
    x = 1,625,551,050,841/584,588
  6. Step 6: Final answer
    x = 2,780,678.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.