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Finding the Third Proportional to 565,556 and 1,229,284

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Solution

The third proportional to 565,556 and 1,229,284 is: 2,671,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,556 : 1,229,284 = 1,229,284 : x
  2. Step 2: Convert to fraction form
    565,556/1,229,284 = 1,229,284/x
  3. Step 3: Cross multiply
    565,556x = 1,229,284 × 1,229,284
  4. Step 4: Simplify right side
    565,556x = 1,511,139,152,656
  5. Step 5: Solve for x
    x = 1,511,139,152,656/565,556
  6. Step 6: Final answer
    x = 2,671,953.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.