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Finding the Third Proportional to 532,886 and 1,141,348

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Solution

The third proportional to 532,886 and 1,141,348 is: 2,444,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,886 : 1,141,348 = 1,141,348 : x
  2. Step 2: Convert to fraction form
    532,886/1,141,348 = 1,141,348/x
  3. Step 3: Cross multiply
    532,886x = 1,141,348 × 1,141,348
  4. Step 4: Simplify right side
    532,886x = 1,302,675,257,104
  5. Step 5: Solve for x
    x = 1,302,675,257,104/532,886
  6. Step 6: Final answer
    x = 2,444,566.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.