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Finding the Third Proportional to 584,278 and 1,227,590

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Solution

The third proportional to 584,278 and 1,227,590 is: 2,579,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,278 : 1,227,590 = 1,227,590 : x
  2. Step 2: Convert to fraction form
    584,278/1,227,590 = 1,227,590/x
  3. Step 3: Cross multiply
    584,278x = 1,227,590 × 1,227,590
  4. Step 4: Simplify right side
    584,278x = 1,506,977,208,100
  5. Step 5: Solve for x
    x = 1,506,977,208,100/584,278
  6. Step 6: Final answer
    x = 2,579,212.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.