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Finding the Third Proportional to 584,766 and 1,281,213

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Solution

The third proportional to 584,766 and 1,281,213 is: 2,807,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,766 : 1,281,213 = 1,281,213 : x
  2. Step 2: Convert to fraction form
    584,766/1,281,213 = 1,281,213/x
  3. Step 3: Cross multiply
    584,766x = 1,281,213 × 1,281,213
  4. Step 4: Simplify right side
    584,766x = 1,641,506,751,369
  5. Step 5: Solve for x
    x = 1,641,506,751,369/584,766
  6. Step 6: Final answer
    x = 2,807,117.29

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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.